The perimeter of an isosceles triangle is 3.6 m and its base is 30 cm shorter than each of the equal sides. What is the area (in m2) of the triangle?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 0.6.
Let a be the equal side and b be the unequal side
Area of an isosceles triangle = b/2 × √(a2 - b2/4)
⇒ b = a - 0.3
⇒ 3.6 = 2a + b
⇒ 3.6 = 2a + a - 0.3
⇒ a = 1.3 m
b = 1.3 - 0.3 = 1m
Area of the given isosceles triangle = 1/2 × √(1.32 - 12/4) = 0.6 m2