Question

is it possible to construct a triangle with the given side lengths 35, 120 and 125 units if not explain why not ​

Answer 1

Yes(4th choice)

Explanation:

The triangle inequalities tell us, that the sum of any two sides of a triangle must be greater than the third. This checks out for all values in this triangle:

125 + 35 > 120 Check

120+25 > 125 Check

125 + 120 > 35 Check

Answer 2

Yes

Explanation:

If the sum of the two smallest sides of a triangle are less than the third side, then the triangle cannot be constructed, since the sides would not be able to touch. However, since 35+120 is greater 125, this triangle can be formed. Hope this helps!