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  • Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be (A) 3.6 cm (B) 4.1 cm (C) 3.8 cm (D) 3.4 cm

Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be

(A) 3.6 cm

(B) 4.1 cm

(C) 3.8 cm

(D) 3.4 cm

Answers (1)

We know that sum of two sides of a triangle is greater than the third side.

(A) BC = 1.5 cm, AC = 3.6 cm (Assume)

Then, BC + AC = 1.5 + 3.6 cm = 5.1 cm

The sum of the two sides BC and AC is more than the third side AB = 5 cm

Therefore, AC = 3.6 cm is possible.

(B) BC = 1.5 cm, AC = 4.1 cm (Assume)

Then, BC + AC = 1.5 + 4.1 cm = 5.6 cm

The sum of the two sides BC and AC is more than the third side AB = 5 cm

Therefore, AC = 4.1 cm is possible.

(C) BC = 1.5 cm, AC = 3.8 cm (Assume)

Then, BC + AC = 1.5 + 3.8 cm = 5.3 cm

The sum of the two sides BC and AC is more than the third side AB = 5 cm

Therefore, AC = 3.8 cm is possible.

(D) BC = 1.5 cm, AC = 3.4 cm (Assume)

Then, BC + AC = 1.5 + 3.4 cm = 4.9 cm

The sum of the two sides BC and AC is less than the third side AB = 5 cm

Therefore, AC = 3.4 cm cannot be possible.

Hence option (D) is correct.

Posted by

infoexpert24

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