Question

(sorry this is a repost, mods please delete the first one, thanks!)

If AR = 3x + 6, BC = x + 18, and RC = 7, then...

AR = ??

RB = ??

Answer 1

AR = 24

RB = 25

Explanation:

I assume ABCR is a rectangle.

If so, the opposite sides are equal:

AR = BC

3x + 6 = x + 18

2x = 12

x = 6

Therefore, AR = 3x + 6 = 24.

RB is found with Pythagorean theorem:

RB² = RC² + BC²

RB² = 7² + 24²

RB = 25