Question

find the value of x in the isosceles triangle shown below. choose 1 answer. a x = √40 b x = √89

Explanation:

Step1: Apply Pythagorean theorem

In the right - triangle formed, if we consider the base as 5 and the height as 8. According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 5\), \(b = 8\) and \(c=x\).
So \(x=\sqrt{8^{2}+5^{2}}\).

Step2: Calculate the value

\[

$$\begin{align*} x&=\sqrt{64 + 25}\\ x&=\sqrt{89} \end{align*}$$

\]

Answer:

\(x=\sqrt{89}\)