Question

State true or false:

In $△ABC$, $AB=BC=CA=2a$ and AD is perpendicular to side BC, the area of $△ABC=a^2\sqrt{2}$.

• A. True
• B. False

Answer 1

The correct option is B False

Since all the sides of the triangle are equal, therefore it is an equilateral triangle.
Area of equilateral triangle $=\frac{\sqrt{3}}{4}{s}^2$

$=\frac{\sqrt{3}}{4}(2a{)}^2$$=a^2\sqrt{3}$

Ans: False