Question

choose the correct reason to justify each of the first four statements in the derivation. 1) $a^{2}=h^{2}+x^{2}$ 2) $h^{2}=a^{2}-x^{2}$ 3) $c^{2}=h^{2}+(b - x)^{2}$

Explanation:

The Pythagorean theorem states that in a right - triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In the right - triangle with hypotenuse \(c\) and legs \(h\) and \((b - x)\), we apply the Pythagorean theorem to get \(c^{2}=h^{2}+(b - x)^{2}\).

Answer:

Pythagorean theorem