Question : The ratio of the sides of a triangle is 11 : 11 : 4. If the area of the triangle is
Option 1: 3 cm
Option 2: 13 cm
Option 3: 11 cm
Option 4: 9 cm
Correct Answer: 11 cm
Solution :
Given: The ratio of the sides of a triangle is 11 : 11 : 4.
The area of the triangle is
A perpendicular bisector in an isosceles triangle bisects the base and acts as the height of the triangle.
Let the sides be
Then, the height AD =
Area of a triangle =
⇒
⇒
⇒
So, the length of the equal sides = (11 × 1) = 11 cm
Hence, the correct answer is 11 cm.