Question

Verify if the following are the sides of a triangle. Give reason for your answer.
(i) AB = 5.5cm, BC = 4cm, AC = 8 cm
(ii) PQ = 4.5cm, QR = 6.5cm PR = 8cm


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Answer 1

Answer:

Question :

Verify if the following are the sides of a triangle. Give reason for your answer.

(i) AB = 5.5cm, BC = 4cm, AC = 8 cm

(ii) PQ = 4.5cm, QR = 6.5cm PR = 8cm

Answer :

Two sides of triangle are x and y are given. Therefore, the third side should be less than the sum of the two sides of the triangle.

(I) 5.5 + 4 = 9.5 cm

8 cm is less 9.5 cm.

Therefore, they are the sides of the triangle.

(ii) 4.5+6.5=11cm

8 cm is than 11 cm.

Therefore, they are the sides of the triangle.