Free pythagorean theorem 07
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Name _____________________

Date _________________________

Pythagorean Theorem Word Problems- Matching Worksheet
Write the letter of the answer that matches the problem.
1. Daniel rides his bicycle 21 km west and
_______ then 18 km north. How far is he from his
starting point?

a.

11.7 cm

2. A square is put together by two triangles.
_______ The hypotenuse is 11 cm and width of 8 cm.
Find the height of the triangle.

b.

20.6 cm

c.

7.55 cm

d.

13.1 feet

e.

42 feet

f.

27.7 km

g.

24.2 feet

h.

14.4 cm

i.

14.8 cm

3. Find the hypotenuse of a triangle that has
_______ a 13 cm leg and a height of 7 cm.
4. In a right-triangle shaped house, the roof
_______ is 51 feet long and the base of the house is
29 feet across. Calculate the height of the
house.
5. John is trying to determine the length of
_______ the staircase he will need for a deck that is
12 feet high. He wants to start the stairs 21
feet from the deck.
6. A triangle shaped paper’s height is 18 cm
_______ and width is