Question

Two sides of a triangle have lengths of 7 and 15. Which inequality represents the possible lengths for the third side?

Answer 1

C cuz I think so ;)))))

Answer 2

Answer:

D

Step-by-step explanation:

From the triangle inequality, we know that the two small sides must be greater than the largest side. Let's let x be the third side:

$7+15>x$

However, 15 can also be our largest side. So:

$7+x>15$

Let's solve for x for both inequalities.

First inequality:

$7+15>x$

Add:

$22>x$

Flip:

$x$

Second inequality:

$7+x>15$

Subtract 7 from both sides:

$x>8$

So, we have the compound inequality:

$x>8\text{ and } x$

Combine:

$8$

Our answer is D

And we're done!