Question : The area of an equilateral triangle is 173.2 cm2. Its side will be __________.
Option 1: 20 cm
Option 2: 22 cm
Option 3: 17.32 cm
Option 4: 21.32 cm
Answer (1)
9th Jan, 2024
Correct Answer: 20 cm
Solution :
The area of an equilateral triangle is 173.2 cm
2
.
Let $a$ be the side of an equilateral triangle.
$\frac{\sqrt3a^2}{4} = 173.2$
⇒ $a^2 = \frac{173.2×4}{1.732}$
⇒ $a^2=400$
⇒ $a=20$
Hence, the correct answer is 20 cm.
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