Similar Triangles
Trending Questions
Q.
ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratio of the area of triangles ABC and BDE is
Q.
If LM ∥ AB, AL=x-3, AC=2x, BM=x-2, BC=2x+3. What is value of AC?
Q. △ABC and △PQR are similar triangles. If ABPQ=45 , find the ratio of areas of △ABC and △PQR.
- 16 : 25
- 4 : 5
- 5 : 4
- 25 : 16
Q.
If the ratio of the perimeter of two similar triangles is then what is the ratio of the area?
Q. In the adjoining figure AD bisects ∠A. Arrange AB, BD, and DC in the descending order of their heights.
Q. in triangle ABC, E divides AB in the ratio of 3:1 and F divides BC in the ratio of 3:2, then ratio of areasof triangle BEF and triangle ABC is
Q. In the given figure, interior angles of ΔABC are in the ratio ∠A: ∠B :∠C=3:2:1 Side BC is produced to D and EC⊥ AC. Find ∠DCE.
30 degrees
75 degrees
60 degrees
100 degrees
Q. ΔABC and ΔPQR are similar triangles. If AB = 4 cm, BC = 5 cm, AC = 2 cm, and PQ = 8 cm, find the perimeter of the ΔPQR.
- 16 cm
- 22 cm
- 28 cm
- 30 cm
Q. The sides of ΔABC are AB = 6cm, BC = 8cm and CA =10cm. Find the perimeter of the larger triangle ΔXYZ which is similar to ΔABC, if the ratio of their corresponding sides is 2.
- 36 cm
- 48 cm
- 24 cm
- 12 cm
Q. If XYZ ~ LMN, write the corresponding angles of the two triangles and also write the ratios of corresponding sides.
Q. If only 2 sides of any two triangles are equal then the triangles can be congruent.
- False
- True
Q.
△ ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm.△ DEF is similar to △ABC. If EF = 4 cm, then the perimeter of △DEF is
15 cm
22.5 cm
30 cm
7.5 cm
Q. 7. In the adjoining figure find Area of Triangle ABC and perimeter of Triangle ABC
Q. In ABCD , side BC < side AD (Figure 5.32) side BC || side AD and if side BA side CD then prove that ABC DCB.