Question

find the length of the hypotenuse in the provided triangle. note that the diagram may not be to scale. 5 √7 7 25

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = 3\) and \(b = 4\), so \(c^{2}=3^{2}+4^{2}\).

Step2: Calculate \(a^{2}+b^{2}\)

\(3^{2}+4^{2}=9 + 16=25\). So \(c^{2}=25\).

Step3: Find \(c\)

Take the square - root of both sides. Since \(c>0\) (length), \(c=\sqrt{25}=5\).

Answer:

A. 5