Question

denesh is creating a triangular flower bed using three pieces of wood. the two shorter pieces of wood have lengths of 7 feet and 24 feet. how long, in feet, should the third piece of wood be for denesh to create a right triangle?

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, if \(a = 7\) and \(b=24\), and \(c\) is the hypotenuse, then by the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\).
Substitute \(a = 7\) and \(b = 24\) into the formula: \(7^{2}+24^{2}=c^{2}\).
Calculate \(7^{2}=49\) and \(24^{2}=576\). Then \(49 + 576=c^{2}\), so \(c^{2}=625\).
Take the square root of both sides: \(c=\sqrt{625}\).

Answer:

\(25\)