Chapter 4.2, Problem 4QR

Solution

To Find: The value of unknown variable x .

  $x=3.46$.

Given information:

  

Concept and Formula Used:

Use the concept of Pythagoras theorem. In right angled triangle, the longest side is hypotenuse, shortest side is perpendicular and the third side is base. According to Pythagoras theorem: ${\left(\text{Hypotenuse}\right)}^{\text{2}}\text{=}{\left(\text{Perpendicular}\right)}^{\text{2}}\text{+}{\left(\text{Base}\right)}^{\text{2}}$

Calculation:

The given is the right triangle with base 2 units and hypotenuse 4 units.

According to Pythagoras Theorem:

  $\begin{array}{l}{4}^2=x^2+2^2\\ x^2=16-4\\ x^2=12\end{array}$

Taking square root both the sides

  $\begin{array}{l}x=\sqrt{12}\\ x=3.46\end{array}$

Conclusion:

  $x=3.46$.