Which expression represents the length of the hypotenuse, c, of the triangle below?
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![Which expression represents the length of the hypotenuse c of the triangle below Pleaseeeeee I neeed helpppp class=](https://us-static.z-dn.net/files/dda/de4d0dc7f758ea7d0018aa8d8d3ec81e.png)
Answer:
C) [tex]c=\sqrt{a^{2} +b^{2} }[/tex]
Step-by-step explanation:
The Pythagorean Theorem states that for a right triangle, the relationship between its three sides is [tex]a^{2} +b^{2} =c^{2}[/tex] where [tex]a[/tex] and [tex]b[/tex] are side lengths and [tex]c[/tex] is the length of the hypotenuse. This means that the length of the hypotenuse is [tex]c=\sqrt{a^{2} +b^{2} }[/tex] by taking the square root of both sides to solve for [tex]c[/tex], making option C correct.