Applications of Pythagorean Theorem

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

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

A sailing ship sails 46 km North and then 74 km East. How far is the ship from its starting point to the nearest km?

• 67 km

• 58 km

• 85 km

• 87 km

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

What is the diagonal length of the iPad?

• 9.2 in

• 11 in

• 13 in

• 9.6 in

Level 4

Solve for x.

• 38.9

• 40.2

• 45.6

• 54

Solve for the value of y

• 13

• 5

• 23

• 10

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

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