Question

Match the following triangles with their areas.

• A. $30$ sq. units
• B. $6$ sq. units
• C. $84$ sq. units

Answer 1

The area of any right traingle $=\frac{1}{2}\times \text{Base}\times \text{Height}$
Let's calculate the areas one by one.
A.
Here, for $\Delta ABC$
If we assume base as $BC$,
$\therefore$ Height $=5$ units,
$\therefore \text{Area}\Delta ABC=\frac{1}{2}\times 5\times 12$

$=30$ sq. units

B.
Here, if $PQ$ is the base, then $RQ$ is the height.
$\therefore \text{Area}PQR=\frac{1}{2}\times 3\times 4$
$=6$ sq. units

C.
For $\Delta MNO$:
If $MN$ is one of the bases, then height $=7$ units
$\therefore \text{Area}\Delta MNO=\frac{1}{2}\times 24\times 7$
$=84$ sq. units.