The ratio of the sides of a triangle is 11 : 11 : 4. If the area of the triangle is cm2, then what is the length of the equal sides?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 11 cm.
Area of isosceles triangle = (1/2) × b × √(a2 - b2/4)
Where, b = base side, a = length of two equal sides
Let the sides of the triangle be 11x, 11x and 4x
a = 11x and b = 4x
Using the concept above;
⇒ 2√117 = (1/2) × 4x × √(121x2 - 4x2)
⇒ x = 1
Hence, the length of the equal sides is 11cm.