Question

the lengths of the sides of △mno are 40 centimeters, 50 centimeters, and 30 centimeters. which formula could be used to show that △mno is a right triangle? 30² + 40² = 50² 30² + 50² = 40² 40² + 50² = 30² 40² - 30² = 50²

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with side lengths \(a\), \(b\) (legs) and \(c\) (hypotenuse), \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side.

Step2: Identify the longest side

Among 30 cm, 40 cm and 50 cm, the longest side \(c = 50\) cm, and \(a = 30\) cm, \(b = 40\) cm.

Step3: Check the Pythagorean relation

We need to check if \(30^{2}+40^{2}=50^{2}\).

Answer:

\(30^{2}+40^{2}=50^{2}\)