Question

In the figure given below, the area of the triangle ABC is $16c{m}^2$. What will be the area of the triangle ABD?

• A. $6c{m}^2$
• B. $8c{m}^2$
• C. $16c{m}^2$
• D. $32c{m}^2$

Answer 1

The correct option is C $16c{m}^2$



In the given figure, both the triangles, ABC and ABD lie within the same set of parallel lines, l1 and l2 and also have the same base, AB.
Area of a triangle = $\frac{1}{2}\times \left(base\right)\times \left(height\right)$

The heights of both the triangles, ABC and ABD, will be the same, as both lie between the same set of parallel lines. Their base is also the same, AB.
$\therefore$ The areas of both the triangles, ABC and ABD will be the same.
Hence, area of triangle,ABD = area of triangle ABC = $16m^2$