Question

From Which of the given measure triangle cannot be drawn 1) 2,3,6 2) 1,2,3
3) 3,4,5 4) 4,5,10

Answer 1

only 3)3,4,5 triangle can be form

Answer 2

For a triangle, the larger side should be lesser than the sum of the other two sides. If the larger side is equal to or greater than the sum of other two sides, the triangle can't be drawn.

Triangle with sides in option (A) can't be drawn.

2 + 3 = 5 < 6. Sum of the two smaller sides is lesser than the larger side.

Triangle with sides in option (B) can't be drawn.

1 + 2 = 3 = 3. Sum is equal to the larger side.

Triangle with sides in option (C) can be drawn.

3 + 4 = 7 > 5. Sum is greater than the larger side.

Also the triangle is a right triangle. 3² + 4² = 5².

Triangle with sides in option (D) can't be drawn.

4 + 5 = 9 < 10. Sum is lesser than the larger side.

∴ Only one triangle can be drawn among here, and that triangle is drawn with sides in option (C). The other three can't be drawn.

Thank you. Have a nice day.

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