Question

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

Answer 1

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.