Pythagorean Theorem Worksheet

Objective: I know how to use the Pythagorean theorem to find the length of a missing side of a right triangle.

If we take the length of the hypotenuse to be c and the length of the legs to be a and b then the Pythagorean theorem tells us that:

c2 = a2 + b2

right triangle

Read the lesson on Pythagorean theorem for more information and examples.



Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!

For each of the following, find the length of the unknown side. (Refer to the above triangle)
Round to the nearest hundredths when necessary.


a = 9, b = 12, c =

a = 15, b = 8, c =

b = 12, c = 13, a =

a = 7, c = 25, b =

a = 40, c = 41, b =

a = 21, b = 20, c =

a = 35, c = 37, b =

a = 11, c = 61, b =

a = 28, c = 53, b =

a = 33, b = 56, c =

a = 6.7, b = 5.5, c =

c = 9.4, a = 4.6, b =

 


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