In an isosceles triangle, if the unequal side is 8 cm and equal side is 5 cm. then the area of the triangle is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 12 cm2.
Given that
In an isosceles triangle. if the unequal side is 8 cm and equal side is 5 cm,
In a triangle ABC, Equal sides AB = AC = 5 cm , unequal side BC = 8 cm
Let The height of the triangle be h
By pythagorus theroem
h = √((5)2 - (8/2)2) = √(25 - 16) = √9 = 3 cm
Hence, the area of the isosceles triangle = ½ × Base × Height = ½ × BC × h = ½ × 8 × 3 = 12 cm2