# What is the value of x? Enter your answer in the box. x= <img src="01501100011.png">

What is the value of x? Enter your answer in the box. x=
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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: $x={\sqrt{x}}^{2}=\sqrt{6}25=25$
$x=25$