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Heron’s Formula — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsHeron’s Formula1 Mark
Question
Write True or False and justify your answer: The area of the equilateral triangle is $20\sqrt{3}\text{cm}^2$ whose each side is 8cm.
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Answer

False.Solution:
$\text{Area of equilateral }\triangle=\frac{\sqrt{3}}{4}(\text{side})^2$ $=\frac{\sqrt{3}}{4}(8)^2=\frac{\sqrt{3}}{4}\times64=16\sqrt{3}\text{cm}^2$ Hence, the given statement is false.

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