Chapter 9, Problem 7CR

To determine

To find:The perimeter of the rhombus

Answer to Problem 7CR

The perimeter of the rhombus is $P=52$

Explanation of Solution

Given information:The measure of the diagonals is $10$ and $24$

Calculation:We know that the diagonals of a rhombus are perpendicular to each other. Hence, equation in a quarter triangle, we get

  $\begin{array}{l}{5}^2+{12}^2=x^2\\ x=13\end{array}$

Where, x is the side of the rhombus. Thus, we can say that

  $P=4x=52$