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The heights of two similar right angled triangles ΔDEF and ΔPQR are 48 cm and 24 cm respectively. If PQ is equal to 6 cm, find the value of side DE? 
1. 6 cm
2. 12 cm
3. 24 cm
4. None of these

The angles of a triangle are in ratio 4 ∶ 3 ∶ 2, what will be the supplementary of the largest angle of the triangle?
1. 60° 
2. 80° 
3. 90° 
4. 100°

If ΔABC is a right angled triangle with ∠ABC = 90º, and AC = 10 cm, BC = 8 cm, then length of AB is:
1. 12 cm
2. 6 cm
3. 2 cm
4. 18 cm

Which of the following can be the sides of a right angled triangle?
1. 15 cm, 32 cm and 57 cm
2. 65 cm, 72 cm and 97 cm
3. 20 cm, 21 cm and 31 cm
4. 35 cm, 77 cm and 88 cm

In a scalene ΔABC, the length of side AB is 13 cm. What should be the measure of AC – BC so that the construction the triangle is not possible?
1. 12 cm
2. 13 cm
3. 11 cm
4. 5 cm

In ΔPQR, O is the in-center and ∠R = 42 °. Find the measure of ∠QOP.


1. 121° 
2. 138°
3. 111°
4. 132°

The measures of angles of a triangle are a°, (a +24)° and (a + 36)° . Find the value of each angle.
1. 23°, 45° and 67° 
2. 40° , 64°  and 76° 
3. 12° , 36°  and 72° 
4. 17° , 75°  and 95°

<1 and <2 are complementary angles <2 and <3 are supplementary angles. If <1 = 45°, then <3 measures 

(a) 145° (b) 135° (c) 45° (d) 150°

If (x, y) divides the line segment joining (4, 3) and (2, 5) in the ratio 1 : 1 internally, then find the value of (x, y).
1. (3, 4)
2. (4, 3)
3. (5, 8)
4. (8, 5)

Four triangles are formed by joining the mid points of three sides of a triangle. 

(i) Two triangles are congruent 

(ii) Three triangles are congruent 

(iii) All the triangles are congruent 

(iv) None are congruent 

(a) (i) is correct 

(b) (ii) is correct 

(c) (iii) is correct 

(d) (iv) is correct

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