Question 11

ABC is a right angled triangle, B being the right angle. Mid-points of BC and AC are respectively B’ and A’. The ratio of the area of the quadrilateral AA’ B’B to the area of the triangle ABC is

Solution

let A', B', C' are the midpoints of AC, BC, AB.

areas of all 4 small triangles are same, let it be x.

area of quadrilateral AA'B'B = 3x

area of ABC = 4x

RATIO = 3x : 4x

= 3 : 4

so the answer is option C.

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