Lesson 6-4 Example 1

1
Lesson 6-4 Example 1
6-4
Example 1
Find the length of the hypotenuse of the right
triangle.
1. From the figure, you know a 12 and b 16.
2
Lesson 6-4 Example 1
6-4
Example 1
Find the length of the hypotenuse of the right
triangle.
2. Substitute the values of a and b in the
Pythagorean Theorem and solve for c.
a2 b2 c2 Use the formula. 122 162 c2 S
ubstitute the measure of each side.
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Lesson 6-4 Example 1
6-4
Example 1
Find the length of the hypotenuse of the right
triangle.
144 256 c2 Simplify the exponents.
400 c2 Add 144 and 256.
Take the square root of both
sides.
20 c Simplify the square roots.
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Lesson 6-4 Example 1
6-4
Example 1
Find the length of the hypotenuse of the right
triangle.
The length of the hypotenuse is 20 units.