Find the length of the hypotenuse.

1
EXAMPLE 1
Find the length of the hypotenuse.
SOLUTION
Substitute.
2
EXAMPLE 1
Find the length of the hypotenuse.
Substitute.
Product of square roots
6
Simplify.
3
EXAMPLE 2
Find the lengths of the legs in the triangle.
SOLUTION
Substitute.
5 x
Simplify.
4
EXAMPLE 3
Standardized Test Practice
SOLUTION
5
EXAMPLE 3
Standardized Test Practice
o
o
o
45-45-90 Triangle Theorem
Substitute.
6
for Examples 1,2 and 3
GUIDED PRACTICE
Find the value of the variable.
1.
SOLUTION
Substitute.
2 x
Simplify.
7
for Examples 1,2 and 3
GUIDED PRACTICE
Find the value of the variable.
2.
SOLUTION
Substitute.
y 2
Simplify.
8
for Examples 1,2 and 3
GUIDED PRACTICE
Find the value of the variable.
3.
SOLUTION
Substitute.
Simplify.
9
for Examples 1,2 and 3
GUIDED PRACTICE
4. Find the leg length of a 45-45-90 triangle
with a hypotenuse length of 6.
SOLUTION
Substitute.
Simplify.