Question

audio en espanol q - id: 13864 ©2020 ascent education 40 30 45 50 55 43

Explanation:

Step1: Identify the right - triangle

The given triangle is a right - triangle with legs of lengths 30 and 40.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem for a right - triangle is \(a^{2}+b^{2}=c^{2}\), where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse. Here \(a = 30\), \(b = 40\). So \(c=\sqrt{30^{2}+40^{2}}=\sqrt{900 + 1600}=\sqrt{2500}\).

Step3: Calculate the value of \(c\)

\(\sqrt{2500}=50\).

Answer:

50