Question

Find the area of an equilateral triangle with side P cm.

Find the area of a triangle whose base is 12cm and height is $5\sqrt{2}cm.$

• A. $20\sqrt{7}c{m}^2$
• B. $30\sqrt{5}c{m}^2$
• C. $20\sqrt{2}c{m}^2$
• D. $30\sqrt{2}c{m}^2$

Answer 1

The correct option is D. $30\sqrt{2}c{m}^2$.

Area of equilateral triangle with side $P$ $=\frac{\sqrt{3}{P}^2}{4}$

Area of Triangle with base $12$ and height $5\sqrt{2}$

Area of triangle $=\frac{1}{2}\times \left(base\right)\times \left(height\right)$

$=\frac{1}{2}\times 12\times 5\sqrt{2}=30\sqrt{2}c{m}^2$