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Mensuration — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSMensuration1 Mark
MCQ
Mark $(✓)$ against the correct answer. Each side of an equilateral triangle is 8cm. Its area is:
  • ✓
    $16\sqrt{3}\text{cm}^2$
  • B
    $32\sqrt{3}\text{cm}^2$
  • C
    $24\sqrt{3}\text{cm}^2$
  • D
    $8\sqrt{3}\text{cm}^2$
✓

Answer

Correct option: A.
$16\sqrt{3}\text{cm}^2$
Given that each side of an equilateral triangle is $8\ cm$
Area of the equilateral triangle
$=\frac{\sqrt{3}}{4}(\text{side)}^2\text{sq. units}$
$=\frac{\sqrt{3}}{4}(8)^2\text{cm}^2$
$=\Big(\frac{\sqrt{3}}4{}\times64\Big)\text{cm}^2=16\sqrt{3}\text{cm}^2$

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