Question

please answer this question and tell the reason

Answer 1

On three sides of a triangle, the largest side should be lesser than the sum of other two sides.

If the largest side of a triangle is greater than or equal to the sum of the other two sides, we can't draw the triangle.

Here, two sides of a triangle is 5 cm and 1.5 cm.

The given options are lesser than 5, so 5 is the largest side.

Consider option (A).

1.5 cm + 3.7 cm = 5.2 cm

5.2 > 5. So this triangle can be drawn.

Consider option (B).

1.5 cm + 4.1 cm = 5.6 cm

5.6 > 5. So this triangle can be drawn.

Consider option (C).

1.5 cm + 3.8 cm = 5.3 cm

5.3 > 5. So this triangle can be drawn.

Consider option (D).

1.5 cm + 3.4 cm = 4.9 cm

4.9 < 5. So this triangle can't be drawn.

So option (D) is the answer.

If two sides of a triangle are 5 cm and 1.5 cm, the length of the third side cannot be 3.4 cm.

Hope this may be helpful.

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