Pythagorean Theorem Problems

Oh No! I can't get to my soccer ball because I can't remember how far away from the house the ladder needs to be!

The wall is 15 feet high. The ladder is 20 feet long.

How far does the ladder need to be from the house? Round to the nearest tenth).

• 13.0 feet

• 25 feet

• 15.2 feet

• 13.2 feet

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.

• 7 inches

• 10 inches

• 19.7 inches

• 13.7 inches

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

• 105 meters

• 79.4 meters

• 210 meters

• 150 meters

• 9.2 in
• 11 in
• 13 in
• 9.6 in

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

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? Which equation could be used to solve the problem?

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Solve for the value of y

• 13

• 5

• 23

• 10

Find the length of the missing side.

• 25 cm

• 42 cm

• 52 cm

• 48 cm

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