Question

)) a. Write three side lengths that will

form a triangle. Write three side
lengths that will NOT form a triangle.

Answer 1

Three side lengths that will for a. Triangle is 3,4,5 and three side lengths that won’t is 3,4,7

Answer 2

3,4,5 forms a right triangle

1,2 ,9 does not form a triangle

Explanation:

Three side lengths that will form a triangle

3,4,5

This is a Pythagorean triple. It forms a right triangle

3^2 +4^2 = 5^2

9+16=25

25=25

Three side lengths that will not form a triangle

1,2 9

The sum of the two smaller sides must be greater then the third

1+2 < 9 not greater