Question

A triangle can be formed with side lengths 5, 7 and 10.

True

False

Answer 1

TRUE

Explanation:

If a+b is bigger than c, the triangle can be formed.

5+7 is bigger than 10

Answer 2

Using the relation between the sides of a triangle, the answer is True.

Explanation:

The length are 5, 7 and 10.

In any triangle:

1) The sum of the lengths of any two sides is greater than the length of the third side.

5+7=12 > 10 ok

5+10=15 > 7 ok

7+10=17 > 5 ok

2) The difference between the lengths of any two sides is less than the length of the third side.

7-5=2 < 10 ok

10-5=5 < 7 ok

10-7=3 < 5 ok