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The side of an equilateral triangle is 1...

The side of an equilateral triangle is 16 cm.Find the length of its altitude.

Text Solution

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Area of an equilateral triangle `A= sqrt3/4 **a^2`
Here, `a` is side of triangle. `A = sqrt3/4**16**16 = 64sqrt3 cm^2->(1)`
Also, `A = 1/2**base**height `
Here, base` = a = 16 cm`
Let height or altitude of the triangle is `h` cm.
`:. 64sqrt3 = 1/2*16*h`
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