Question

choose the correct reason to justify each of the first four statements in the derivation. 1) $a^{2}=h^{2}+x^{2}$ pythagorean theorem 2) $h^{2}=a^{2}-x^{2}$ pythagorean theorem rearrange the previous statement assumption expand $(b - x)2$

Explanation:

Starting with the equation \(a^{2}=h^{2}+x^{2}\) (from the Pythagorean theorem in the left - hand right - triangle). To solve for \(h^{2}\), we perform algebraic manipulation. We subtract \(x^{2}\) from both sides of the equation \(a^{2}=h^{2}+x^{2}\). Using the property of equality (if \(A = B + C\), then \(B=A - C\)), we get \(h^{2}=a^{2}-x^{2}\). This is simply rearranging the previous statement.

Answer:

Rearrange the previous statement