High School

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

A. \( 8 < x < 22 \)

B. \( x > 7 \)

C. \( x > 15 \)

D. \( x < 22 \)

Answer :

Answer:

8 < x <22

Step-by-step explanation:

In this question we know the two sides of the triangle to be 7 and 15, let's all the other side x

One one side of the inequality we have:

7+15>x

22 > x

On the other side we have

7 + x > 15

X > 15-7

X>8

When we rearrange these inequalities above we have

8

We saw from the calculations that 8 is less than X and X is less than 22.

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