Question : The altitude of an equilateral triangle of side $\frac{2}{\sqrt3}$ cm is:
Option 1: $\frac{4}{3}$ cm
Option 2: $\frac{4}{\sqrt3}$ cm
Option 3: $\frac{2}{3}$ cm
Option 4: $1$ cm
Answer (1)
24th Jan, 2024
Correct Answer: $1$ cm
Solution :
Given: Side of equilateral triangle = $\frac{2}{\sqrt3}$ m
Altitude of an equilateral triangle of side $a$ = $\frac{\sqrt3}{2}a$
$\therefore$ The altitude of the triangle is $\frac{\sqrt3}{2}×\frac{2}{\sqrt3}$ = 1 cm
Hence, the correct answer is $1$ cm.
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