Question

A triangle with sides a=8
and c=10
. If side b=3
, would it create a triangle? Enter 1 for “yes” and 2 for “no

Answer 1

To determine if a triangle can be formed, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the given sides are a = 8, b = 3, and c = 10.

Applying the triangle inequality theorem:
a + b > c
8 + 3 > 10
11 > 10

So, the sum of sides a and b exceeds the length of side c. This means that a triangle can be formed.

Therefore, the answer is 1 - "yes", a triangle can be formed.