Question

Question 66

State whether the statement is True or False.

In the given figure, ratio of the area of $\Delta ABC$ to the area of $\Delta ACD$ is same as the ratio of base BC of $\Delta ABC$ to the base CD of $\Delta ACD$.

Answer 1

True
$\because$ Area of $\Delta ABC$: Area of $\Delta ACD=\frac{1}{2}\times BC\times AC:\frac{1}{2}\times CD\times AC$
[$\because$ area of triangle = base $\times$ height]
= BC : CD