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help me finish my homework this question has 3 parts. Find the side length x. Round your answer to the nearest hundreth

help me finish my homework this question has 3 parts. Find the side length x. Round-example-1
User Glendy
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1 Answer

29 votes
29 votes

We have here a right triangle, and to find the sides of this triangle, we can use the Pythagorean Theorem:


a^2+b^2=c^2

Where a and b are the sides of the triangle and c is the hypotenuse. Then, we have:


10^2+x^2=20^2\Rightarrow x^2=20^2-10^2\Rightarrow x^2=400-100\Rightarrow x^2=300

Thus, the side x is (taking the square root to both sides of the equation):


\sqrt[]{x^2}=\sqrt[]{300}\Rightarrow x=\sqrt[]{300}\Rightarrow x=17.320508

Rounding the answer to the nearest hundredth, we have:

x = 17.32 units.

User Rubin Bhandari
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