Right Triangle Pythagorean Theorem

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

• 24/32
• 32/24
• 32/40
• 24/40

• 14/48
• 48/50
• 14/50
• 48/14

• 27/36
• 27/45
• 45/36
• 45/27

Aiden and Aria are building a treehouse and need to find the length of the ladder (x) to reach the top. What magical math tool should they use to solve for x?

• Pythagorean Theorem

• Trig

• Inverse Trig

Answer explanation

Aiden and Aria can use the Pythagorean Theorem to find the length of the ladder (x). This theorem applies to right triangles, where the ladder acts as the hypotenuse, making it the correct tool for their problem.

Ethan and Zoe are building a treehouse and need to find the length of a ladder. Which equation would they use to solve for x?

• x²+6²=8.5²

• sin(8.5)= x/6

• sin(8.5)= 6/x

• sin^-1(6/8.5)

Answer explanation

Ethan and Zoe can use the Pythagorean theorem to find the length of the ladder (x). The equation x² + 6² = 8.5² represents the relationship between the ladder, the height, and the distance from the base.

Which equation would be used to solve for x?

• x²+6²=8.5²

• sin(8.5)= x/6

• sin(8.5)= 6/x

• sin^-1(6/8.5)

What would you use to solve for x?

• Pythagorean Theorem

• Trig

• Inverse Trig

Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:

• 19.31

• 25

• 16.58

Which equation would be used to solve for x?

• x²+25²=32²

• cos(25)= x/32

• tan^-1(32/25)

• cos^-1(25/32)