Question

What is the value of x in simplest radical form?

Answer 1

x = 37

Explanation:

Two leg lengths (35 and 12) are given, and the hypotenuse length is to be found. The Pythagorean Theorem links, these three quantities and enables us to find x quickly and easily:

35² + 12² = x² → 1225 + 144 = 1369 → x² = 1369

Find x by taking the square root of both sides:

√(x²) = ±√1369 → x = ± 37.

Because length is always +, omit x = -37 and keep x = +37.

Answer 2

x=37

Explanation:

Since this is a right triangle, we can use Pythagorean theorem

a^2 +b^2 =c^2

12^2 +35^2 = x^2

144+1225= x^2

1369 = x^2

Take the square root

sqrt(1369) = sqrt(x^2)

37 = x