Question

Use the Pythagorean Theorem to find the value of x.

Write your answer in simplest radical form!

Answer 1

`√(45) =c\\`

Explanation:

Pythagorean theorem:

`a^2+b^2=c^2`

Substitute in the values:

`6^2+3^2=c^2`

simplify

`36+9=c^2`

simplify

`45=c^2`

take square root of both sides

`√(45) =c\\`

Hope this helps! :)

Answer 2

in the simplest radical form value of x can be written as,

x = 3√5

Explanation:

according to the Pythagorean theorem,

x² = 3² + 6²

x² = 9 + 36

x² = 45

x = √45

value of x in the simplest radical form can be written as,

x = √5*9

x = 3√5