Pythagorean Theorem Algebra

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

• Divide both sides by 2

• Take the square root of both sides

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

• 12 feet

• 13.9 feet

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 3

What is the hypotenuse of the diagram?

• 11 blocks

• 9 blocks

• 5 blocks

• 10 blocks

We are given one of the sides and the hypotenuse. Find the length of the missing side length. (Hint: distance from the wall to the bottom of the ladder)

• 7

• 5

• 11

• 25

Find the length of the missing side.

• 25 cm

• 42 cm

• 52 cm

• 48 cm

A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft

• 11ft

• 6ft

• 14ft

Do the segment lengths 15, 12, and 9 form a right triangle?

• Yes

• No

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Solve for x.

• 38.9

• 40.2

• 45.6

• 54