Question

choose 1 answer: a x = 5 b x = √7 c x = 7 d x = 25

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 3\) and \(b = 4\) and hypotenuse \(x\), the Pythagorean theorem is \(a^{2}+b^{2}=x^{2}\).
So, \(3^{2}+4^{2}=x^{2}\), which is \(9 + 16=x^{2}\).

Step2: Calculate \(x^{2}\) and \(x\)

\(9+16 = 25\), so \(x^{2}=25\). Taking the square - root of both sides, since \(x\) represents the length of a side of a triangle and must be positive, \(x=\sqrt{25}=5\).

Answer:

A. \(x = 5\)