Pythagorean Theorem Day 3 Word Problems 12/1

Last updated over 1 year ago
10 questions
10

Two sides of a right triangle are 8 and 12 in.

Find the missing side if these are the lengths of the legs.


10

Two sides of a right triangle are 8 and 12 in.

Find the missing side if these are the lengths of a leg and hypotenuse.

10

The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder?

10

The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?
It will help to sketch out what is happening on paper.

10

John leaves school to go home. He walks 6 blocks north and then 8 blocks west. How far is John from the school?
It will help to sketch out what is happening on paper.

10

Scott wants to swim across a river that is 400 meters wide. He begins swimming perpendicular to the shore he started from but ends up 100 meters down river from where he started because of the current. How far did he actually swim from his starting point?
It will help to sketch out what is happening on paper.

10

A 13 foot ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 13 feet. Will the ladder reach the top of the wall?

10

What is the length of the diagonal of a 10 cm by 15 cm rectangle?

10

The diagonal of a rectangle is 25 inches. The width is 15 in. What is the length?

10

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 the distance?