Home
Class 10
MATHS
The sides AB and AC and the perimeter P(...

The sides AB and AC and the perimeter `P_(1)` of `DeltaABC` are respectively three times the corresponding sides DE and DF and the perimeter `P_(2)` of `DeltaDEF`. Are the two triangles similar? If yes, find `(ar(DeltaABC))/(ar(DeltaDEF))`.

Text Solution

Verified by Experts

The correct Answer is:
`9:1`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.1)|7 Videos

  • TRIANGLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.2)|9 Videos

  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|11 Videos

Similar Questions

Explore conceptually related problems

D,Eand F are respectively the mid - points of sides AB, BC and CA of DeltaABC . Find the ratio of the areas of DeltaDEF and DeltaABC.

side AB and AC and median AD od a triangle ABC are respectively proportional to side PQ and PR and median PM of another triangle PQR. Show that DeltaABC~DeltaPQR

The areas of two similar triangles are 81 cm^(2) and 49 cm^(2) respectively. What is the ratio of their corresponding sides ?

The perimeters of two similar triangles are 30 cm and 20 cm respectively. If one side of the first triangle is 12 cm, determine the corresponding side of the second triangle.

ABC is a triangle and through A, B, C lines are drawn parallel to BC, CA and AB respectively intersecting at P, Q and R. Prove that the perimeter of DeltaPQR is double the perimeter of DeltaABC.

D,E and F are respectively the mid-points of the sides BC, CA and AB of triangle ABC show that (i) BDEF is a parallelogram. (ii) ar (DEF) = 1/4 ar (ABC) (iii) ar (BDEF) = 1/2 ar (ABC)

Two sides of a tariangle are given by the roots of the equation x^(2) -2sqrt3 x+2 =0. The angle between the sides is (pi)/(3). Find the perimeter of Delta.

In adjacent figure, sides AB and AC of DeltaABC are extended to points P and Q respectively. Also, /_PBC AB.

IF P,Q,R and S are respectively the mid-points of the sides of a parallelogram ABCD show are (PQRS) = 1/2 ar (ABCD)

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.