Applications of Pythagorean Theorem

What is the formula used to solve for the hypotenuse?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

_{^{Find the missing side}}

• 29.2

• 20

• 400

• 10

Marcus leans a 12-ft ladder against a wall to clean a window. If the base of the ladder is 3 ft away from the wall, how high up does the ladder reach? Round to the nearest tenth.

• 12.4 feet

• 10 feet

• 11.6 feet

• 10.6 feet

Make a right triangle where the segment AB is the hypotenuse. Then find the length of AB to the nearest unit.

• 6 units

• 5 units

• 4 units

• 3 units

Make a right triangle where the segment AB is the hypotenuse. Then find the length of AB to the nearest unit.

• 4 units

• 5 units

• 6 units

• 7 units

Ashley is building a garden and she wants it to be 40' long. She knows that the diagonal measure of the plot is 50'. What is the width?

• 30 feet

• 50 feet

• 40 feet

• 20 feet

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Marcus leans a 12-ft ladder against a wall to clean a window. If the base of the ladder is 3 ft away from the wall, how high up does the ladder reach? Round to the nearest tenth.

• 12.4 feet

• 10 feet

• 11.6 feet

• 10.6 feet

• Not a triangle

• Right triangle

• Acute triangle

• Obtuse triangle

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles