In the triangle shown below, what is the approximate value of x?
a.22.52 units
b. 19 units
c. 13 units
d. 29.07 units

A.22.52 units

Step-by-step explanation:

We will use the Pythagorean theorem to solve this.  The Pythagorean theorem states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.

The two legs are x and 13 and the hypotenuse is 26; this gives us

x²+13² = 26²

x²+169 = 676

Subtract 169 from each side:

x²+169-169 = 676-169

x² = 507

Take the square root of each side:

√(x²) = √507

x ≈ 22.52

b