Question

your answer is incorrect.
for the following right triangle, find the side length x.
image of a right triangle with legs 35 and 12, hypotenuse x

Explanation:

Step1: Identify the theorem

This is a right triangle, so we use the Pythagorean theorem: \(a^2 + b^2 = c^2\), where \(a = 35\), \(b = 12\), and \(c = x\) (the hypotenuse).

Step2: Substitute values

Substitute \(a = 35\), \(b = 12\) into the formula: \(35^2 + 12^2 = x^2\).

Step3: Calculate squares

\(35^2 = 1225\), \(12^2 = 144\). Then \(1225 + 144 = x^2\).

Step4: Sum the values

\(1225 + 144 = 1369\), so \(x^2 = 1369\).

Step5: Take the square root

\(x = \sqrt{1369} = 37\).

Answer:

37