Q28. If the area of an equilateral triangle is 16V3cm?, then the perimeter of 2 points
the triangle is
O a
a) 48cm
O
b) 24cm
O
C) 12cm
O d) 36cm
29 Two sides of a triangle are 13cm & 14cm. Its semi-perimeter is 20cm. 2 points
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Answer:
(b) Given, area of an equilateral triangle = 16√3 cm2
Area of an equilateral triangle = √3/4 (side)2
√3/4(Side)2 = 16√3 ⇒ (Side)2 = 64
⇒ Side =8 cm
[taking positive square root because side is always positive]
Perimeter of an equilateral triangle = 3 x Side= 3 x 8 = 24 cm
Hence, the perimeter of an equilateral triangle is 24 cm.
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