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Q16.

Expert-verified
Found in: Page 291

### Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

# State an equation you could use to find the value of $x$. Then find the value of $x$ in simplest radical form.

The required value of $x$ is,

$x=\sqrt{117}$.

See the step by step solution

## Step 1. Given information.

We have given a figure as shown below,

## Step 2. Use Pythagorean Theorem concept.

From Pythagorean Theorem,

we know that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

The given triangle is right triangle.

Therefore,

$\begin{array}{c}{6}^{2}+{9}^{2}={x}^{2}\\ 36+81={x}^{2}\\ 117={x}^{2}\end{array}$

## Step 3. Taking square root.

we get,

$x=±\sqrt{117}$

## Step 4. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

The required value of $x$ is, $x=\sqrt{117}$.