Q. 84.4( 73 Votes )
Given: D is mid point of BC
Equilateral triangles have all its angles as 60° and all its sides are of the same length. Therefore, all equilateral triangles are similar to each other.
Hence, the ratio between the areas of these triangles will be equal to the square of the ratio between the sides of these triangles.
Let side of ΔABC = x
Side of ΔBDE =
Hence, the correct answer is C
Rate this question :
Which of the following is a false statement?RS Aggarwal - Mathematics
In ΔABC it is given that . If ∠B = 70° and ∠C = 50° then ∠BAD = ?
RS Aggarwal - Mathematics
In ΔABC and ΔDEF, we have , then ar (ΔABC): ar (ΔDEF) = ?RS Aggarwal - Mathematics
Find the area of a triangle whose sides are 42 cm, 34 cm and 20 cm.RS Aggarwal - Mathematics
The corresponding sides of two similar triangles are in the ratio 2 : 3. If the area of the smaller triangle is 48 cm2, find the area of the larger triangle.RS Aggarwal - Mathematics
The areas of two similar triangles are 81 cm2 and 49 cm2 respectively. If the altitude of the first triangle is 6.3 cm, find the corresponding altitude of the other.RS Aggarwal - Mathematics
The corresponding altitudes of two similar triangles are 6 cm and 9 cm respectively. Find the ratio of their areas.RS Aggarwal - Mathematics
The line segments joining the midpoints of the adjacent sides of a quadrilateral formRS Aggarwal - Mathematics
In a trapezium ABCD, it is given that AB || CD and AB = 2CD. Its diagonals AC and BD intersect at the point 0 such that ar (ΔAOB) = 84 cm2. Find ar (ΔCOD).RS Aggarwal - Mathematics
ΔABC ~ ΔPQR and ar (ΔABC) = 4ar (ΔPQR). If BC = 12 cm, find QR.RS Aggarwal - Mathematics