Question

Find the area of an obtuse angle triangle ABC as shown in the figure.

• A. $\frac{ab}{2}{\text{unit}}^2$
• B. $\frac{a(b+d)}{2}{\text{unit}}^2$
• C. $\frac{ab}{2}\text{unit}$
• D. $\frac{abc}{2}{\text{unit}}^2$

Answer 1

The correct option is A $\frac{ab}{2}{\text{unit}}^2$

Given,
Base of a triangle$=BC=b$ unit
Height of a triangle$=AD=a$ unit
As we know,
$\text{Area of}△ABC=\frac{1}{2}\times \text{Base}\times \text{Height}$
$\Rightarrow \frac{1}{2}\times b\times a=\frac{ab}{2}{\text{unit}}^2$

Option (b) is correct.