Q:

In the triangle shown below, what is the approximate value of x?A.22.52 unitsB. 19 unitsC. 13 unitsD. 29.07 units

Accepted Solution

A:
Answer: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 usx²+13² = 26²x²+169 = 676Subtract 169 from each side:x²+169-169 = 676-169x² = 507Take the square root of each side:√(x²) = √507x ≈ 22.52