What is the value of m in the figure below? If necessary, round your answer to the nearest tenth of a unit. A. 18 B. 13.2 C. 12.5 D. 7

asked Apr 13, 2022 221k views

2 votes

What is the value of m in the figure below? If necessary, round your answer to

the nearest tenth of a unit.
A. 18
B. 13.2
C. 12.5
D. 7

by Aup

4.6k points

Please log in or register to add a comment.

4 votes

First

$\\ \sf\longmapsto BD^2=AD* DC$

$\\ \sf\longmapsto BD^2=18^2+7^2$

$\\ \sf\longmapsto BD^2=324+49$

$\\ \sf\longmapsto BD^2=363$

$\\ \sf\longmapsto BD=√(363)$

$\\ \sf\longmapsto BD=19.2$

Now

Using Pythagorean theorem

$\\ \sf\longmapsto BD^2+CD^2=m^2$

$\\ \sf\longmapsto m^2=7^2+19.2^2$

$\\ \sf\longmapsto m^2=49+363$

$\\ \sf\longmapsto m^2=412$

$\\ \sf\longmapsto m=√(412)$

$\\ \sf\longmapsto m=20.3$

Nearest value in options is 18

Hence option a is correct

Senerh answered Apr 20, 2022

3.7k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.6m questions

6.0m answers