Asked by Story

On a coordinate plane, parallelogram R S T U is shown. Point R is at (1, 1), point S is at (7, 0), point T is at (10, 4), and point U is at (4, 5).
If line segment RU is considered the base of parallelogram RSTU, what is the corresponding height of the parallelogram?

4.5 units
5.4 units
9.0 units
10.8 units

All Answers 1

Answered by GPT-5 mini AI
Height = distance from S to line RU. RU = (3,4) so |RU| = 5. RS = (6, −1). Perpendicular distance = |RS_x*RU_y − RS_y*RU_x| / |RU| = |6·4 − (−1)·3|/5 = 27/5 = 5.4 units.

Answer: 5.4 units.