First slide

Equation of line in Straight lines

Question

The equation of base of an equilateral triangle is x+y=2 and the vertex is (2, -1). Then area of triangle is

Moderate

A

$2 \sqrt{3}$
B

$\sqrt{3} / 6$
C

$1 / \sqrt{3}$
D

$2 / \sqrt{3}$

Solution

Area $= \frac{p^{2}}{\sqrt{3}}$ where p is height of $∆$
p= $\frac{|2 - 1 - 2|}{\sqrt{1 + 1}} = \frac{1}{\sqrt{2}}$

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