Question
Download Solution PDFThe height of an equilateral triangle is 7\(\sqrt{3}\) cm. What is the area of this equilateral triangle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The height of an equilateral triangle is 7\(\sqrt{3}\) cm.
Concept used:
Height of an equilateral triangle = \(\frac {\sqrt3}{2} \times Side\)
Area of an equilateral triangle = \(\frac {\sqrt3}{4} \times Side^2\)
Calculation:
Each side of the triangle = \({7\sqrt3} \div \frac {\sqrt3}{2}\) = 14 cm
Area of the triangle = \(\frac {\sqrt3}{4} \times 14^2\) = 49 \(\sqrt{3}\) cm2
∴ The area of this equilateral triangle is 49 \(\sqrt{3}\) cm2.
Last updated on Jul 17, 2025
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