Question

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

Answer 1

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) = √

Answer 2

A.22.52 units

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