Pythagorean Theorem – Application
1. a) Find w.
b) Find w.
2. Find the perimeter of the rectangle.
3. Find the length of the missing leg.
4. Determine if these measurements belong to a right triangle
a.
1 1 1
, ,
5 4 3
b.
1
1
1
, ,
9 15 18
5. Use the figure at the right. About how many miles is it from downtown to the harbor? Round to the
nearest tenth of a mile.
6. Use the diagram at the left. Find the width w that the box needs to be
for the fishing rod to fit flat inside of it. Round to the nearest tenth of a meter.
7. A fire truck parks beside a building such that the base of the ladder is 16ft
from the building. The fire truck extends its ladder 30 ft as shown at the
right. How high is the top of the ladder above the ground? Round to the
nearest tenth of a foot.
Directions: for each situation draw a diagram and then solve. Round each
answer to the nearest tenth.
8. A ladder is 25 long. The ladder needs to reach to a window that is 24 ft above the ground. How far away
from the building should the bottom of the ladder be placed?
9. Suppose you leave your house and you travel 13 miles due west. Then you travel 3 miles due south. If
you walked in one straight line back to your house, how far would you have to walk?
10. A wire is run between the tips of two poles. One pole is 23 feet taller than the other pole. The poles are
37 feet apart. How long does the wire need to be two reach between the two poles?