Chapter 11.7, Problem 1CE

To determine

To Find: The ratio of area of triangles $\Delta ABCand\Delta ADC$ .

Answer to Problem 1CE

  $9:5$

Explanation of Solution

Given:

  

Height of triangles

  $\begin{array}{l}\Delta ABC=9\\ \Delta ADC=5\end{array}$

Since for both the triangles $\Delta ABCand\Delta ADC$ .

Base is same $AC$

Thus

We know that if the two triangles have same base then the ratio of the area is equal to the ratio of their heights.

i.e.

  $\begin{array}{l}\Delta ABCand\Delta ADC\\ \frac{ar\left(\Delta ABC\right)}{ar\left(\Delta ADC\right)}=\frac{9}{5}\end{array}$

Hence, $9:5$