What is the value of x? Enter your answer in the box. x=

What is the value of x? Enter your answer in the box. x= image

Answers (1)

By the Pythagorean theorem (for right triangles): \(c^{2}= a^{2} + b^{2}\) where a and b represent the lenght of the legs and c represents the lenght of hypotenuse. \(a = 7, b = 24, c = x\) \(x^{2} = 7^{2} + 24^{2} = 49 + 576 = 625\) Next, we obtain the value of x by taking the square root: \(x = \sqrt x^{2} = \sqrt625=25\)
\(x = 25\)

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