Question

16. The length of each side of an equilateral triangle having an area 25V3cm2 is
O a) 25 cm
b) 5 cm
c) 10 cm
O d) 15 cm​

Answer 1

Answer:

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Step-by-step explanation:

We know that area of equilateral triangle = √3/4(side)²

Area = 25√3 cm²

Equating bath , we get

$25 \sqrt{3} = \frac{ \sqrt{3} }{4}(side) {}^{2} \\ \\ \frac{25 \sqrt{3} \times 4}{ \sqrt{3} } = (side) {}^{2} \\ \\ cancelling \: \: \sqrt{3} \\ \\ \frac{25 \: \: \cancel{\sqrt{3}} \times 4}{ \cancel{\sqrt{3}} } = (side) {}^{2} \\ \\ 25 \times 4 = (side) {}^{2} \\ \\ 100 = (side) {}^{2} \\ \\ side = \sqrt{100} \\ \\ side = 10 \: cm$

∴ Option (c)