Question

Find the length of the leg x Enter the exact value, not a decimal approximation

Answer 1

`x = √(189)`

Explanation:

Use pythagorean theorem to solve for x.

Thus:

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

Where,

a = 6

b = x = ?

c = 15

Plug in the values into the equation

`6^2 + x^2 = 15^2`

`36 + x^2 = 225`

Subtract 36 from each side

`x^2 = 225 - 36`

`x^2 = 189`

Take the square root of both sides

`x = √(189)`