Question

for the following right triangle, find the side length x. image of a right triangle with legs 40 and 9, hypotenuse x

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, the Pythagorean theorem is \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse, and \(a\), \(b\) are the legs. Here, \(a = 40\), \(b = 9\), \(c = x\). So \(x^2 = 40^2 + 9^2\).

Step2: Calculate squares

\(40^2 = 1600\), \(9^2 = 81\). Then \(x^2 = 1600 + 81 = 1681\).

Step3: Find square root

Take square root of 1681: \(x = \sqrt{1681} = 41\).

Answer:

41