The perimeter of two similar triangles ΔABC and ΔPQR are 60 cm and 36 cm respectively. If PQ = 18 cm, then AB is

• 20 cm

• 24 cm

• 36 cm

• 36 cm

In a ΔABC, if and   then the correct relation is

• CA > AB

• CA = AB

• CA < AB

• CA + AB = CB

Which of the following ratios can be the ratio of the sides of a right-angled triangle?

• 9 : 6 : 3

• 13 : 12 : 5

• 7 : 6 : 5

• 7 : 6 : 5

PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is

• 3 cm

• 6 cm

• 12 cm

• 12 cm

In  Δ ABC,  DE || AC, where D and E are two points lying on AB and BC respectively. If AB = 5 cm and AD = 3 cm, then BE : EC is

• 2 : 3

• 3 : 2

• 5 : 3

• 3 : 5

D, E, F are the mid-points of the sides BC, CA and AB respectively of a Δ ABC. Then the ratio of the areas of Δ DEF and Δ ABC is:

• 1/2

• 1/4

• 1/8

• 1/16

The orthocentre of a triangle is the point where

• the medians meet

• the altitudes meet

• the right bisectors of the sides of triangle meet

• the right bisectors of the sides of triangle meet

68.

G is the centroid of Δ ABC. If AG = BC, then measure of ∠BGC  is

• 45°

• 60°

• 90°

• 120°

The ratio of the angles of a triangle is . Then the smallest angle is:

In an isosceles triangle ABC, AB = AC and  the bisector of  and  meet at D. The  is equal to

• 90°

• 100°

• 130°

• 80°