Question

Fine the value of x express each answer in simplified radical form

Answer 1

Given:

The objective is to find the value of x.

Since the given triangle is a right angled triangle, the value of x can be solved using Pythagoras theorem.

`\begin{gathered} \text{Hypotenuse}^2=Opposite^2+Adjacent^2 \\ 10^2=x^2+4^2 \\ x^2=10^2-4^2 \\ x^2=100-16 \\ x^2=84 \\ x=\sqrt[]{84} \\ x=\sqrt[]{2\cdot2\cdot3\cdot7} \\ x=2\sqrt[]{21} \end{gathered}`

Hence, the value of x is 2√21.