Question

what is yz?
yz =
submit

Explanation:

Step1: Use the Hypotenuse - Leg (HL) Congruence Theorem

Since \(YW\perp XZ\), \(\angle YWX=\angle YWZ = 90^{\circ}\), \(XW = ZW=24\), and \(YW\) is common to both right - triangles \(\triangle YWX\) and \(\triangle YWZ\). By the HL (Hypotenuse - Leg) congruence theorem for right - triangles (\(HL\) states that if the hypotenuse and one leg of a right - triangle are equal to the hypotenuse and one leg of another right - triangle, then the two right - triangles are congruent), \(\triangle YWX\cong\triangle YWZ\).

Step2: Use the property of congruent triangles

If \(\triangle YWX\cong\triangle YWZ\), then their corresponding sides are equal. So, \(YZ = YX\). Given that \(YX = 29\).

Answer:

\(29\)