Relation between Area and Sides of Similar Triangles
Trending Questions
Q.
If △ABC∼△ DEF such that AB = 12 cm and DE = 14 cm. Find the ratio of areas of △ ABC and △ DEF.
4916
3649
499
2549
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
Q. If ΔABC and ΔPQR are two similar triangles shown in the figure. AM and PN are the medians on ΔABC and Δ PQR respectively. Then which of the following statements is true?
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/507048/original_5.png)
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/507048/original_5.png)
- ΔABM∼ΔPQR
- ΔAMC∼ΔPNR
- ΔABM∼ΔPQN
- ΔABM∼ΔPNQ
Q. Let △ABC∼△DEF and their areas be 64 cm2 and 121 cm2 respectively. If EF=15.4 cm, find BC.
![1368698_494a478e8e1743cdbd804438196d55a3.PNG](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/1368698_494a478e8e1743cdbd804438196d55a3.PNG)
Q. If the ratio of the corresponding sides of two similar triangles is 3:4, then the ratio of their perimeters is:
- 3:4
- 4:3
- 16:9
- 9:16
Q. The areas of two similar triangles are 49 cm2 and 64 cm2 respectively. The ratio of their corresponding sides is:
- 49:64
- 7:8
- none of these
- 64:49
Q. In ΔABC, AB = AC and AD is perpendicular to BC. State the property by which ΔADB≅ΔADC.
- SSS property
- SAS property
- RHS property
- ASA property
Q. In a ΔABC, D and E are points on the sides AB and AC respectively such that DE||BC.
If AD=4x−3, AE=8x−7, BD=3x−1 and CE=5x−3, find the value of x.
If AD=4x−3, AE=8x−7, BD=3x−1 and CE=5x−3, find the value of x.
Q. D, E, and F are the mid-points of the sides BC, CA and AB, respectively of a ΔABC. Then find the ratio of the areas of ΔDEF and ΔABC.
Q. In figure, ABCD is a parallelogram
Prove that DPPQ=DCBQ
![1402384_a1f7dc5a3d5646d5bc861a993201a348.png](https://search-static.byjusweb.com/question-images/toppr_ext/questions/1402384_a1f7dc5a3d5646d5bc861a993201a348.png)
Prove that DPPQ=DCBQ
![1402384_a1f7dc5a3d5646d5bc861a993201a348.png](https://search-static.byjusweb.com/question-images/toppr_ext/questions/1402384_a1f7dc5a3d5646d5bc861a993201a348.png)
Q.
D, E and F are respectively the mid-points of the sides BC, CA and AB of a △ABC. Show that
(i) BDEF is a parallelogram.(ii) ar (△DEF) = 14 ar (△ABC). [4 MARKS]
Q. If the sides of a parallelogram touch a circle. Prove that the parallelogram is a rhombus.
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 ___
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/13963/content_1.png)
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/13963/content_1.png)
Q. D, E, and F are the mid-points of the sides BC, CA and AB, respectively of a ΔABC. Then find the ratio of the areas of ΔDEF and ΔABC.