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ICSE Class 9 Answered

Find the area of an equilateral triangle whose height is 8cm.
Asked by durvakorade20.9spicertl | 18 Oct, 2020, 07:37: PM
answered-by-expert Expert Answer
Height of an equilateral triangle is 8 cm
Side of an equalateral triangle = sqrt{2} times altitude = 8 square root of 2 space cm
We know that,
Area space of space an space equilateral space triangle equals fraction numerator square root of 3 over denominator 4 end fraction left parenthesis side right parenthesis squared space equals fraction numerator square root of 3 over denominator 4 end fraction open parentheses 8 square root of 3 close parentheses squared equals fraction numerator square root of 3 over denominator 4 end fraction cross times 64 cross times 3 equals 48 square root of 3 space cm squared
Answered by Renu Varma | 19 Oct, 2020, 10:11: AM

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