Question

The area(in sq. units) of the trianlge $PQR$ as shown in the diagram is

• A. $7.5$ sq. units
• B. $15$ sq. units
• C. $10$ sq. units

Answer 1

The correct option is A $7.5$ sq. units

Given $△PQR$ as shown.
Here, taking $QR$ as the base of the triangle, let's draw a perpendicular from the vertex $P$. We get the updated diagram as:


Here, we can say that the base $QR$ has 5 units in length.
And, the height $PA$ is $3$ units.

$\therefore$ The area $\Delta PQR=\frac{1}{2}\times RA\times PA$
$=\frac{1}{2}\times 5\times 3=7.5$ sq. units