Question

In an equilateral triangle, whether the three times the square of one side is equal to four times the square of one of its altitudes.

• A. True
• B. False

Answer 1

The correct option is A True

Tp prove : $3a^2=4p^2$

$\tan {60}^o=\frac{p}{a/2}=\sqrt{3}$

$p=\frac{\sqrt{3}a}{2}$

$\Rightarrow p^2=\frac{\left(3a^2\right)}{4}$

$\Rightarrow 4p^2=3a^2$