Relation between Areas and Sides of Similar Triangles
Trending Questions
Q. In a right angle triangle ΔABC, a perpendicular BD is drawn on to the largest side from the vertex B. Which of the following does NOT give the ratios of the areas of ΔABD and ΔBCD ?
- (ABBC)2
- (ABAC)2
- (ADBD)2
- (BDDC)2
Q. In triangle ABC, ∠CBA=72∘, E is the midpoint of side AC, and D is a point on side BC such that 2BD=DC; AD and BE intersect at F. The ratio of the area of △BDF to the area of quadrilateral FDCE is
- 25
- 14
- 15
- 13
Q. If ΔABC and ΔPQR are two similar triangles shown in the figure. AM and PN are the medians on ΔABC and ΔPQRrespectively. The ratio of areas of ΔABC and ΔPQR is 9:25. If AM = PO = 5 cm. Find the value of 3(ON) in cm ___


Q. In a right triangle ΔABC with right angle at B, a perpendicular BD is drawn from B to the hypotenuse. If AC = 2AB, find the area of ΔADB.
Given: Area of ΔABC = 5 sq units
Given: Area of ΔABC = 5 sq units
- 0.5 sq. unit
- 1 sq. unit
- 1.25 sq. unit
- 5 sq. unit
Q. Find the ratio of the areas of two similar triangles ΔABC and ΔPQR shown in the figure.


- (BCQR)2
- (ABPQ)2
- (ACPR)2
- All of these
Q.
The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio BXAB.
- 1√2
- 12
- 4√1
- √21
Q.
If △ABC∼△ DEF such that AB = 12 cm and DE = 14 cm. Find the ratio of areas of △ ABC and △ DEF.
2549
4916
3649
499
Q.
ABCD is a square. Equilateral triangles ACF and ABE are drawn on the the diagonal AC and side AB respectively. Find area of △ACF : area of △ABE.
√2:1
2:1
4:1
8:1
Q.
In the given figure, △ABC∼△PQR. Then, area of △ ABCarea of △ PQR equals
BC2QR2
AC2PR2
AB2PQ2
- All of the above.
Q.
In the given figure, △ABC∼△PQR and AM and PN are medians of △ABC and △PQR respectively. Then Area of △ ABCArea of △ PQR = _____
AB2PQ2
AM2PN2
- (a) and (b) above.
- PQ2QR2