In the diagram below, QR is perpendicular to BD Find the length of BD. If entering your answer as a decimal, round your final answer to the nearest hundredth.

Question

asked Jun 21, 2021 56.8k views

2 Answers

Feloneous Cat · Answer 1 · 2021-06-25T01:10:10+0000

Answer:

BD = 24

Explanation:

Triangle ABQ and CDQ are congruent by AA.

AB/BQ = CD/DQ

32.0/15.0 = 19.2/DQ

32.0DQ = 15.0 × 19.2

32.0DQ = 288

DQ = 9

BD = BQ + DQ

BD = 15 + 9

BD = 24