Question

How would you set up a problem to determine if 7, 15, 21 is a triangle?

A. 7 + 15 > 21
B. 7 * 15 > 21
C. 7 - 15 > 21
D. 7 + 15 < 21

Answer 1

To determine if 7, 15, and 21 can form a triangle, we can use the Triangle Inequality Theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Step-by-step explanation:

To determine if 7, 15, and 21 can form a triangle, we can use the Triangle Inequality Theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we can set up the following inequality:

7 + 15 > 21

Simplifying this inequality gives us:

22 > 21

Since this inequality is true, we can conclude that 7, 15, and 21 can form a triangle.