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

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

2021-01-24
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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