Chapter 6 – Triangles

If in triangles ABC and DEF, \(\frac { AB }{ EF }\) = \(\frac { AC }{ DE }\), then they will be similar when

A square and a rhombus are always

If ΔABC ~ ΔDEF and EF = \(\frac { 1 }{ 3 }\)BC, then ar(ΔABC):(ΔDEF) is

If a triangle and a parallelogram are on the same base and between same parallels, then what is the ratio of the area of the triangle to the area of parallelogram?

D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (in cm) is

Which geometric figures are always similar?​

ΔABC ~ ΔPQR, ∠B = 50° and ∠C = 70° then ∠P is equal to​

In triangle DEF,GH is a line parallel to EF cutting DE in G and and DF in H. If DE = 16.5, DH = 5, HF = 6 then GE = ?

In a rectangle Length = 8 cm, Breadth = 6 cm. Then its diagonal = …

In triangle ABC ,DE || BC AD = 3 cm, DB = 8 cm AC = 22 cm. At what distance from A does the line DE cut AC?

In ABC, DE || AB. If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to

Two poles stand on the ground at a distance of 20m and 50 m respectively from a point A on the ground, the taller pole at 30 m from smaller pole. A cable originates from the top pf the taller pole, passing on the other pole ends on a hook at point A. If the length of the cable is 100 m , how much of it lies between the the two poles?

In triangle ABC, if AB = \(6\sqrt{3}\) cm, AC = 12 cm and BC cm, then ∠B is

Triangle ABC is similar to triangle DEF and their areas are 64 cm2 and 121 cm2 respectively. If EF = 15.4 cm, then BC = ?​

The ratio of the areas of two similar triangles is equal to the:​

In trapezium ABCD a line EF cuts the diagonal AC in O such that \(\frac { AO }{ OC }\) = \(\frac { 2 }{ 3 }\) and EF is parallel to BC.In what ratio does EF cut AB and CD?​

Two congruent triangles are actually similar triangles with the ratio of corresponding sides as.​

If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true?

In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :

In a rhombus if d1 = 16 cm, d2 = 12 cm, then the length of the side of the rhombus is

In triangle MNS, A and B are points on the sides MN, NS respectively. AN = \(\frac { 1 }{ 2 }\) MN, BS= \(\frac { 1 }{ 2 }\) MS. Then AB is …………………. to NS :​

The length of each side of a rhombus whose diagonals are of lengths 10 cm and 24 cm is

23. O is a point on side PQ of a APQR such that PO = QO = RO, then

24. In ABC, DE || AB. If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to

25. AABC is an equilateral A of side a. Its area will be…

26. In a rectangle Length = 8 cm, Breadth = 6 cm. Then its diagonal = …

27. In a rhombus if d1 = 16 cm, d2 = 12 cm, its area will be…

28. In a rhombus if d1 = 16 cm, d2 = 12 cm, then the length of the side of the rhombus is

29. If in two As ABC and DEF, ABDF=BCFE=CAED, then

30. In a square of side 10 cm, its diagonal = …