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Q.

What is the height of an equilateral triangle with a side of 24cm?


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a

12cm

b

12 3 cm

c

10cm

d

10 3 cm  

answer is C.

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Detailed Solution

We know that formula for the area of a triangle is 1 2 ×b×h .
Also, we can use 3 4 side 2 it to find the area of a triangle if it is an equilateral triangle.
So, the area of an equilateral triangle,
= 3 4 24 2 c m 2
=144 3 c m 2
Further,
1 2 ×24×h=144 3
h= 144 3 ×2 24
h=12 3 cm
Thus, h=12 3 cm it is the height of the equilateral triangle.
Hence, option 3 is correct.
 
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