Unit 8, Lesson 9
Finding Unknown Side Lengths
Grade 8
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Label all the hypotenuses with
Find the value of
The Pythagorean Theorem can be used to find an unknown side length in a right triangle as long as the length of the other two sides is known.
For example, here is a right triangle, where one leg has a length of 5 units, the hypotenuse has a length of 10 units, and the length of the other leg is represented by
Start with
Use estimation strategies to know that the length of the other leg is between 8 and 9 units, since 75 is between 64 and 81. A calculator with a square root function gives