A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5cm. Find the area of the kite
Answers
Given : A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5cm.
To Find : the area of the kite
Solution:
area of the kite = Area of Equilateral triangle + area of isosceles triangle
Side of Equilateral triangle = 6 cm
=> Area of Equilateral triangle = (√3 / 4) * 6² = 9√3 = 15.59 cm²
Side of Equilateral triangle 6 cm will be base of isosceles triangle
leg of isosceles triangle are 5 cm
s = ( 5 + 5 + 6)/2 = 8
Area of isosceles triangle = √8(8 - 6)(8 - 5)(8-5)
= √8 * 2 * 3 * 3
= 12 cm²
the area of the kite = 15.59 + 12
=> the area of the kite = 27.59 cm²
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