What is the formula for finding the hypotenuse?

• Angle A + Angle B = 180

• Angle A + Angle B = 90

Answer explanation

The correct formula for finding the hypotenuse in a right triangle is given by the Pythagorean theorem: a² + b² = c², where a and b are the lengths of the legs, and c is the length of the hypotenuse.

Tags

CCSS.8.G.B.8

Which of these is a right triangle?

• 
• 
• 
• 

Tags

CCSS.2.G.A.1

Given a right triangle with legs of lengths 3 and 4, find the length of the hypotenuse.

• 5

• 6

• 7

• 8

Answer explanation

In a right triangle, the hypotenuse can be found using the Pythagorean theorem: a² + b² = c². Here, 3² + 4² = 9 + 16 = 25, so c = √25 = 5. Thus, the hypotenuse is 5.

Tags

CCSS.8.G.B.7

In a right triangle, if one leg is 5 and the hypotenuse is 13, what is the length of the other leg?

• 10

• 12

• 8

• 9

Answer explanation

Using the Pythagorean theorem: a² + b² = c². Here, a = 5, c = 13. So, 5² + b² = 13². This simplifies to 25 + b² = 169. Thus, b² = 144, and b = 12. Therefore, the length of the other leg is 12.

Tags

CCSS.8.G.B.7

If the legs of a right triangle are 7 and 24, what is the length of the hypotenuse?

• 25

• 26

• 27

• 28

Answer explanation

To find the hypotenuse of a right triangle with legs 7 and 24, use the Pythagorean theorem: c = √(a² + b²). Here, c = √(7² + 24²) = √(49 + 576) = √625 = 25. Thus, the hypotenuse is 25.

Tags

CCSS.8.G.B.7

In a right triangle, the hypotenuse is 15 and one leg is 9. Find the length of the other leg.

• 12

• 10

• 11

• 13

Answer explanation

Using the Pythagorean theorem, a² + b² = c², where c is the hypotenuse. Here, 9² + b² = 15². This simplifies to 81 + b² = 225. Thus, b² = 144, and b = 12. Therefore, the length of the other leg is 12.

Tags

CCSS.8.G.B.7

Which side of the triangle is the hypotenuse?

• QP

• QR

• RP

Answer explanation

In a right triangle, the hypotenuse is the longest side, opposite the right angle. Here, side RP is opposite the right angle formed by sides QP and QR, making RP the hypotenuse.

Simplify: 2 (x+3) - 4 = 10

• x=5

• x=9

• x=4

• x=10

Answer explanation

To simplify, distribute: 2(x+3) - 4 = 10 becomes 2x + 6 - 4 = 10. Simplifying gives 2x + 2 = 10. Subtract 2 from both sides: 2x = 8. Divide by 2: x = 4. Thus, the correct answer is x=4.

Tags

CCSS.7.EE.B.4A

What is the length of the missing side? *NOTE: side lengths of 10 and 12.

• 15.6

• 6.6

• 44

• 16

Answer explanation

To find the missing side, we can use the Pythagorean theorem. If the sides are 10 and 12, the missing side is calculated as √(10² + 12²) = √244 = 15.6. Thus, the correct answer is 15.6.

Tags

CCSS.8.G.B.8

If a pole on the floor is touching the top of Mario's head, which is 5 feet in length, and the shadow created by the pole is 3 feet in height, How tall is Mario?

• He is 3 feet tall

• He is 20 feet tall

• He is 5 feet tall

• He is 4 feet tall

Answer explanation

Mario is 4 feet tall because the pole touching his head is 5 feet long, and the shadow height of 3 feet indicates that the pole's height is not directly proportional to Mario's height. Thus, he is shorter than the pole.

Tags

CCSS.HSG.SRT.B.5