Question

Can the sides of a triangle have lengths 12, 45, and 35?

Answer 1

Yes

Explanation:

An easy way to check this is to use Euclids Triangle inequality.
Basically if the sum of lengths of 2 sides is GREATER than the third side, then it can be a triangle.

Beware if the sum of the two sides is EQUAL to the third side, it will not be a triangle it must be GREATER than the third side

Hope this helps

Answer 2

Yes they can form a trriangle. See explanation.

Explanation:

Three numbers can be lengths of sides of a triangle if any of the numbers is less than the sum of the other two numbers.

So here we can check that:

• `12<45+35` CORRECT

• `45 <12+35` CORRECT

• `35<12+45` CORRECT

All three inequalities are true, so the numbers can be lengths of sides of a triangle.