HARD
10th Andhra Pradesh Board
IMPORTANT
Earn 100

Prove that the area of the equilateral triangle described on the side of a square is half the area of the equilateral triangles described on its diagonal.

Important Questions on Similar Triangles

HARD
10th Andhra Pradesh Board
IMPORTANT

D, E, F are mid points of sides BC, CA, AB of DEF. Find the ratio of areas of DEF and ABC.

MEDIUM
10th Andhra Pradesh Board
IMPORTANT
In ABC, XYAC and XY divides the triangle into two parts of equal area. Find the ratio of AXXB.
HARD
10th Andhra Pradesh Board
IMPORTANT
Prove that the ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding medians.
EASY
10th Andhra Pradesh Board
IMPORTANT

ABC~DEFBC=3 cm, EF=4 cm and area of ABC=54 cm2. Determine the area DEF.

HARD
10th Andhra Pradesh Board
IMPORTANT

ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. If AP=1 cm and BP=3 cm, AQ=1.5 cm and CQ=4.5 cm. Prove that arAPQ=116×arABC.

EASY
10th Andhra Pradesh Board
IMPORTANT
The area of two similar triangles are 81 cm2 and 49 cm2 respectively. The altitude of the bigger triangle is 4.5 cm. Find the corresponding attitude of the smaller triangle.
HARD
10th Andhra Pradesh Board
IMPORTANT
For a right angle triangle with integer sides at least one of its measurements must be an even number. Why?
HARD
10th Andhra Pradesh Board
IMPORTANT

In ACB, C=90° and CDAB. Prove that BC2AC2=BDAD.

Question Image