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Important Properties of Triangles

A triangle ca...

Question

Question 1
A triangle can be constructed by taking its sides as
a) 1.8 cm, 2.6 cm, 4.4 cm
b) 2 cm, 3 cm, 4 cm
c) 2.4 cm, 2.4 cm, 6.4 cm
d) 3.2 cm, 2.3 cm, 5.5 cm

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Solution

Triangle can be constructed only if they satisfy the given condition.
Sum of two sides > Third side
Clearly, only option (b) satisfies the given condition,
(2 + 3) cm > 4 cm
i.e, 5 cm > 4 cm

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Similar questions

Q. In ∆ABC, DE ∥ BC so that AD = 2.4 cm, AE = 3.2 cm and EC = 4.8 cm. Then, AB = ?

(a) 3.6 cm
(b) 6 cm
(c) 6.4 cm
(d) 7.2 cm

△ A B C, D

E

are points on the sides

A B

A C

respectively such that

D E ∥ B C

A D = 2.4 c m, A E = 3.2 c m, D E ∥ B C

A D = 2.4 c m, A E = 3.2 c m, D E = 2 c m

B C = 5 c m

B D

C E

Q. Question 2
A triangle can be constructed by taking two of its angles as
a)

110^{\circ}, 40^{\circ}

70^{\circ}, 115^{\circ}

135^{\circ}, 45^{\circ}

90^{\circ}, 90^{\circ}

Q. A triangle can be constructed by taking its sides as:

In a triangle ABC, P and Q are points on side AB and AC respectively,such that PQ is parallel to BC.If AP=2.4 cm, AQ=2cm, QC=3cm and BC=6cm, find AB and PQ.

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Important Properties of Triangles

Standard VII Mathematics

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