Question

Find x. (I'm so bad with circles pls help)

Answer 1

Answer: x = 20

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Step-by-step explanation:

x = radius of the circle

The vertical leg of the right triangle is also x. The horizontal leg is 99.

The hypotenuse is x+81

We have these triangle side lengths:

• a = x
• b = 99
• c = x+81

Use the pythagorean theorem to tie them all together, which will allow us to solve for x.

`a^2+b^2 = c^2\\\\\text{x}^2+99^2 = (\text{x}+81)^2\\\\\text{x}^2+9801 = \text{x}^2+162\text{x}+6561\\\\9801 = 162\text{x}+6561\\\\9801-6561 = 162\text{x}\\\\3240 = 162\text{x}\\\\\text{x} = 3240/162\\\\\text{x} = 20`

A tool like GeoGebra or WolframAlpha can be used to confirm the answer is correct.