Question

In the adjoining figure, what is the area of ∆ . a) 24 units b) 12 units c) 30 units d) 3 units​

Answer 1

Explanation:

It is given that

BC = 5 units [∵ BC = OA, OA = 5 units]

AC = 12 units

This is because 5 represents the units number of units across x-axis and 12 along the y-axis. Now,

We wish to find the area of ΔABC.

We know that

$\mathsf{Area\:of\:a\:triangle=Base\times Height \times \frac{1}{2}}$

Hence,

$\mathsf{Area\:of\:triangle\:ABC=BC \times AC \times \frac{1}{2} = 5\times12\times\frac{1}{2}=5\times6}$

∴ $\textsf{Area of triangle ABC = 30 sq. units}$

Answer: 30 sq. units

I hope this answer helps. :D