1. Verify right triangles
EXAMPLE 1
Verify right triangles
Tell whether the given triangle is a right triangle. a. b.
Let c represent the length of the longest side of the triangle. Check to see whether the side lengths satisfy the equation c2 = a2 + b2. = ?
( ) a. b. = ? = ? = ?
306 = 306
676 = 680
The triangle is a right triangle.
The triangle is not a right triangle.

2. GUIDED PRACTICE
for Example 1
Tell whether a triangle with the given side lengths
is a right triangle. 1.
4, , 8
Let c represent the length of the longest side of the triangle. Check to see whether the side lengths satisfy the equation c2 = a2 + b2.
42 + =
( )2 82 64 =
64 = 64
The triangle is a right triangle.

3. GUIDED PRACTICE
for Example 1
Tell whether a triangle with the given side lengths
is a right triangle. 2.
10, 11, and 14
Let c represent the length of the longest side of the triangle.Check to see whether the side lengths satisfy the equation
c2 = a2 + b2 =
142
196 =
196 = 221
The triangle is not a right triangle.

4. GUIDED PRACTICE
for Example 1
Tell whether a triangle with the given side lengths
is a right triangle. 3.
5,6 and 61
Let c represent the length of the longest side of the triangle.Check to see whether the side lengths satisfy the equation
c2 = a2 + b2
( 61) = =
61 = 61
The triangle is a right triangle.