CK-12 Geometry-Concepts

http://www.ck12.org Chapter 8. Right Triangle Trigonometry

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CK-12 Foundation: Chapter8PythagoreanTheoremandPythagoreanTriplesB

Concept Problem Revisited

To make the walls perpendicular, find the length of the diagonal.

652 + 722 =c^2

4225 + 5184 =c^2

9409 =c^2

97 =c

In order to make the building rectangular, both diagonals must be 97 feet.

Vocabulary

The two shorter sides of a right triangle (the sides that form the right angle) are thelegsand the longer side (the side
opposite the right angle) is thehypotenuse. ThePythagorean Theoremstates thata^2 +b^2 =c^2 , where the legs are
“a” and “b” and the hypotenuse is “c”. A combination of three numbers that makes the Pythagorean Theorem true
is called aPythagorean triple.

Guided Practice

1. Find the missing side of the right triangle below.


2. What is the diagonal of a rectangle with sides 10 and 16

√

5?