Pythagorean Theorem Multi Step

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

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

The Pythagorean Theorem ONLY works on which triangle?

• Obtuse

• Scalene

• Right

• Isosceles

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

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

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

• 210 m

• 180 m

• 150 m

• 79 m

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

• 65 miles

• 89 miles

• 45.4 miles

• Not enough information to answer.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

• 9 feet

• 19.2 feet

• 81 feet

• 369 feet

solve for c

• 7

• 9

• 4

• 13