Mathematics High School

The three side lengths of a triangle are given. Which triangle is a right triangle?
A. Triangle 1:13−−−√, 6, 7
B. Triangle 2: 7, 8, 13
C. Triangle 3: 10, 11, 12
D. Triangle 4:10−−−√, 9, 8

Answers

Answer 1

Answer:

i am assuming "13----√" means "√13" ect. I am also assuming that the first 2 values are legs and the final is the hypotenuse.

the answer is then "A"

Step-by-step explanation:

Answer 2

The triangle whose sides are √13, 6, and 7, is a right triangle.

What is the right triangle?

A right triangle is defined as a triangle with one right angle or two perpendicular sides. The longest side of a right triangle is called the hypotenuse.

Pythagorean Theorem :

The square on the hypotenuse is equal to the total of the squares on the legs of a right triangle.

Mathematically, let r be the length of the hypotenuse of a right triangle. Again let p, q be the lengths of other sides of this triangle. By the Pythagorean Theorem,

r² = p² + q².

How to solve this problem?

We just check which triangle's sides follow the above theorem.

Option A (Triangle with sides √13, 6, and 7 ):

13 + 36 = 49

i.e. (√13)² + 6² = 7²

This triangle's sides follow the Pythagorean Theorem.

So, the triangle with sides √13, 6, and 7 is a right triangle.

Option B (Triangle with sides 7, 8, and 13 ):

49 + 64 ≠ 169

i.e. 7² + 8² ≠ 13²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 7, 8, and 13 is not a right triangle.

Option C (Triangle with sides 10, 11, and 12 ):

100 + 121 ≠ 144

i.e. 10² + 11² ≠ 12²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 10, 11, and 12 is not a right triangle.

Option D (Triangle with sides √10, 9, and 8 ):

10 + 64 ≠ 81

i.e. (√10)² + 8² ≠ 9²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides √10, 9, and 8 is not a right triangle.

Therefore the triangle whose sides are √13, 6, and 7, is a right triangle. So, option A is correct.

Know more about right triangles here -

https://brainly.com/question/481046

#SPJ2

Related Questions

PLEASE HELP ME!
Answer in as much detail as needed please! Im giving 15 points for the best one!

Answers

Step-by-step explanation:

The answer is 220in^2 and hope it's useful and helpful to you.

The dimensions for a rectangular prism are x + 3 for the length, x + 2 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.

Answers

Answer:

the answer will be x^3 + 2x^2 + 9x

Step-by-step explanation:

as :

volume = l* w* h

= X * (X + 2) * (X + 3)

= X ^ 2 + 2 X (X + 3)

= x ^2 (X + 3) + 2x (X + 3)

= x^3 + 3x +2x ^2 + 6x

= x^3 + 2x^2 + 9x

Mrs. Trotta drives a total of 378 miles over 6 days. She drives the same amount of miles each day. How many miles does Mrs. Trotta drive each day?

Answers

Answer:

63 miles per day

Step-by-step explanation:

The miles she drove: 378

Number of days: 6

Solve:

378/6= 63

Check your math:

63*6=378

Hope this helps!

3/11 as a decimal equivalent

Answers

0.27 repeated with the line over the 27

Answer:

The decimal form for this is 0.27 (With a line on top of it.)

Step-by-step explanation:

See this image:

In this figure, angles R and S are complementary. Find the measure of angle S.
S
62°
R
PLEASE HELP ASAP

Answers

Answer:

Angle S is 28 degrees.

Step-by-step explanation:

You know angle R is 62 degrees and that angle Q is 90 degrees because the angle is marked by a teeny square (as I like to call it). You ten can add these two angles together and you will get the angle of 152 degrees. And as you should know that all angles of a triangle added together are  180 degrees you just take 180 degrees and subtract it with the two known angles added together. Thus you know that the final answer to S is 28 degrees.

someone pls help me 10 points

Answers

The answer to the system of equationsis (-3,-1)
-3,-1 is the anwser to it

HELPPPPP HELLPPPPPP Plsss

Answers

Answer:

1) -5

2) 21

3) 60

4) -52

5) -12

6) 31

7) -16

8) -27

9) 5

10) -11

11) 16

12) -24

13) 11

14) -36

15) 2

16) 36

17) -31

18) -48

19) -24

20) -21

.
Simplify the radical expression.



−4x2

2x2

−2x2

4x2

Answers

2x^2 ( the second one ) :-)

A and B together complete a work in 20days. They worked together for 5days and B leaves. How long will A takes to finish the remaining work if A alone can finish the work 36days.

Answers

Answer:

27 days

Step-by-step explanation:

A alone, rate per day = 1/36

A and B together, rate per day = 1 / 20

Total Workdone for 5 days :

1/ 20 * 5 = 5 / 20 = 1/4

Fraction of work left :

1 - 1/4 = 3/4

3 / 4 * 36 /1

= (3 * 36) / 4

= 108 / 4

= 27 days

Someone plz help me I wil give brainliest

Answers

Answer:

The answer is three quarters, one nickel's dime, and a penny!

Step-by-step explanation:

Answer:

Dime- 4

Penny- 1

Half Dollar- 1

Step-by-step explanation:

A dollar is 100 cents and you have 91

91- 50 (half dollar)= 41

41- 1 (one penny)= 40

40- 40 (4 dimes)= 0

Abby got a summer job. The table shows how much money she will earn based on the number of hours she works.
Hours Worked 20 30 40 50
Dollars Earned 150 225 300 375
Based on the table, how much money will she earn if she works 65 hours?
O A $450.00
B. $475.50
C. $487.50
D. $525.00

Answers

Answer:

C

Step-by-step explanation:

She earns $487.50

375+75+37.5=487.5

Answer: c

Step-by-step explanation

First find the unit rate

$150 divided by 20 = $7.50

So she's earning $7.50 an hour

$7.50 times 65 hours = $487.50

So the correct answer is C

What value of x makes the equation below true 5(x − 8) + 26 = −9? A 1 B -1 C 15 D -15

Answers

answer is A which is 1

what is the distance between (-1,-2) and (8,10)

Answers

Answer:

x1 = 2, x2 =-8

y1=-2, y2 =-2

y2-y1 = |-2+2| =0

x2-x1= |-8-2|= 10

So distance is 10 units

Step-by-step explanation:

Which term has the definition "The value that is half way between the minimum and the median

Answers

The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Use place value to convert 1.18 to a fraction SELECT ALL CORRECT ANSWERS
A. 1 15/100
B. 1 15/1000
C. 1 9/50
D. 1 9/500

Answers

Answer:

c. 1 9/50

Step-by-step explanation:

1.18= 59 = 1 9/50

---

50

Forgive me if i am wronge

Amanda bought 4 pairs of jeans for $71.40. How much would she need to pay for 8 pairs of jeans?

Answers

Answer:  $142.80

==========================================================

Explanation:

To get this answer, we double the 71.40 to get 142.80

You can think of it like an equation and we multiply both sides by 2

4 jeans = 71.40 dollars

2*(4 jeans) = 2*(71.40 dollars)

8 jeans = 142.80 dollars

------------

Or you could solve it like this

(4 jeans)/(71.40 dollars) = (8 jeans)/(x dollars)

4/71.40 = 8/x

4x = 71.40*8

4x = 571.2

x = 571.2/4

x = 142.80

------------

Yet another way to solve is to first find the unit rate

4 jeans cost 71.40, so that must mean 1 pair of jeans cost 71.40/4 = 17.85 dollars. This is the unit rate since "unit" means "one". It's the price per pair of jeans.

Multiply that by 8 to find out how much 8 pairs will cost, and we get 17.85*8 = 142.80

Totally out of points
Need triangle geom help !

Answers

Answer:

B. ∠BAC

Step-by-step explanation:

The angle opposite the largest side has the largest angle.

7x-3=12 help me please

Answers

Answer:

x=15/7

Step-by-step explanation:

7x-3=12

+3=+3

7x=15

/7=/7

x=15/7

Simplify.
[tex]m\sqrt{p} + n\sqrt{p} - \sqrt{p}[/tex]

Answers

Answer:

First option is the correct answer.

[tex] (m + n - 1) \sqrt{p} [/tex]

Step-by-step explanation:

[tex]m\sqrt{p} + n\sqrt{p} - \sqrt{p} \\ \\ = (m + n - 1) \sqrt{p} [/tex]

A. 25-3x=40

Answer: x =
its a neg #

Answers

minus 25 on both sides which gives -3x = 15 divide by -3 which means x =-5

Answer:

-3x= 40-25

-3x=15

x=15÷3

x=5

-3y>x+6 I need help w this math problem

Answers

Answer:

y< −x/3 −2

Step-by-step explanation:

I hope this is what you need if not let me know and ill edit the answer

first come first served

Answers

Answer:

10. 32 mpg

12. 5 1/3 grams = 1 serving

14. 0.8 cent per can

16. 1/2 kg = 1 foot

18. 8 7/10 meters in 1 hour

Step-by-step explanation:

10. 256/8=32

12. if 4=3/4 then ?=4/4. to find 1/4 divide both by 3, 3/4 divided by 3 = 1/4, 4 divided by 3=1 1/3. then to find 4/4 multiply both by 4, 1/4x4=4/4, 1 1/3x4=5 1/3 so 5 1/3=1

14. 4.8/0.6=0.8

16. if 1/3=2/3 then ?=3/3. to find 1/3 divide both by 2, 2/3 divided by 2=1/3, 1/3 divided by 2 = 1/6. then to find 3/3 multiply both by 3, 1/3x3=3/3, 1/6x3=1/2

18. if 21 3/4=2 1/2 then ?=2/2. to find 1/2 divide both by 5, 2 1/2 divided by 5=1/2, 21 3/4 divided by 5 = 4 7/20. then to find 2/2 multiply both by 2, 1/2x2=2/2, 4 7/20x2=8 7/10

HEY GUYS PLS HELP (kinda easy tho)

Answers

Answer:

74

Step-by-step explanation:

13 5-peso coins

9 1 peso coins

13 X 5 = 65

9 X 1 = 9

65+9 = 74

please answer as fast as u can ​

Answers

Hey dude, I'm not completely sure but I think the answer's 30°.

I need help getting started

Answers

1. 3/4
2.-7/6
3.3/4
4.-1/4
5.-5/4
6.-1/2
7.-3/4
8.-5/3

what's the value of
[tex](2 \sqrt{2}) {}^{2} [/tex]
chess ?​

Answers

Answer:

jbtcxey5x6ivb

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

(2√2)^2

= (2^2× √2^2)

=(4×2)

=8

Un cliente tiene que devolver el dinero al banco donde solicitó un préstamo de $8 000.00 el 27 de diciembre. Si fue devuelto el 27 de octubre de ese mismo año y la tasa de descuento aplicada fue del 3% anual. ¿Cuál es el descuento que corresponde a esta operación? ¿Cuánto tiene qué pagar el cliente el 27 de octubre?

Answers

Answer:

694

Step-by-step explanation:

(6x+y)(6x-7) What is the answer?

Answers

= 6x + 6x - 6x × 7 + 6xy - 7y

36x2 - 42x + 6xy - 7y

A pair of shoes are on sale, they are marked 40% off. The discount is equal to 20 dollars, what is the original price of the shoes

Answers

Answer:

$44

Step-by-step explanation:

PLS HELP WILL MARK BRAINLIEST !!!!!!

Which of the following variables is most commonly graphed on a line graph?
distance
time
speed
size

Answers

Answer:

If these are answer choices, i believe the correct answer is B, time.

Step-by-step explanation:

Answer:

It's Time

Step-by-step explanation:

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