Question

(G.5.c, 1 pt) Part 1: Given the following side lengths, determine whether a triangle exists: 4 in, 6 in, 10 in (Yes or No) (G.5.c, 1 pt) Part 2: Explain your thinking

Answer 1

The triangle inequality theorem tells us:

Any side of a triangle must be shorter than the other two sides added together.

Lets add the shortest 2,

4+6 = 10

Other side is 10.

They are equal,

The other side should've been shorter, but NO.

So, triangle with sides 4, 6, and 10 -- doesnt exist.