Topic 7 Pythagorean Theorem Practice

What is the value of x?

A right triangle has a hypotenuse of 13 inches and a leg of 4 inches. What is the length of the other leg?

• 153

• √153

• 13.6

• √185

The bottom of a ladder must be placed 3 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall?

• 91ft

• √13ft

• 9.5ft

• 10.4ft

Which of the following form right triangles? Select TWO

• 7, 24, 25

• 8, 15, 18

• 6, 12, 14

• 20, 21, 29

Which of the following is true about the drawing?

• a² + c² = b²

• b² + a² = c²

• a² ⋅ b² = c²

• a² + b² = c

What is the length of the line segment?

What is the approximate distance between (2 , 3) and (-2 , -3)?

• 52

• 6.9

• 48

• 7.2

How long is d?

• 8.6

• 14.8

• 10.9

• 218

What is the shortest distance from C to D?

• 3.2

• 52

• 7.2

• 4.5

Which of the following describes the Pythagorean theorem?

• In an obtuse triangle, the sum of the squares of the leg lengths is less than the square of the hypotenuse length.

• In a right triangle, the sum of the squares of the leg lengths is less than the square of the hypotenuse length.
  

• In an obtuse triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.
  

• In a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.