Question

which equation reflects the right triangle shown? 14² + 20² = x² x² - 14² = 20² x² + 14² = 20² 14² - 20² = x²

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here, the hypotenuse is \(20\), and the two legs are \(x\) and \(14\).

Step2: Substitute values into the formula

Substituting \(a = x\), \(b = 14\), and \(c = 20\) into \(a^{2}+b^{2}=c^{2}\), we get \(x^{2}+14^{2}=20^{2}\).

Answer:

\(x^{2}+14^{2}=20^{2}\) (the orange option)