Question

In the right triangle below, AC = x, BC = 3x, and AB = 200 Solve for x Express radical answers in simplified square root form.

Answer 1

Given data:

The first given value is AC = x.

The second given value is BC = 3x.

The third given value is AB = 200^(1/2).

The expression for the Pythagoras theorem is,

`(AC)^2+(BC)^2=(AB)^2`

Substitute the given values in the above expression.

`\begin{gathered} x^2+(3x)^2=(\sqrt[]{2000})^2 \\ 10x^2=200 \\ x^2=20 \\ x=2\sqrt[]{5} \end{gathered}`

Thus, the value of x is 2(5)^(1/2).