Question

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

Answer 1

Answer:

$x = \sqrt{189}$

Step-by-step 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

$x = \sqrt{189}$