lena4947
Answered

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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

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 132 C 125 D 7 class=

Sagot :

First

[tex]\\ \sf\longmapsto BD^2=AD\times DC[/tex]

[tex]\\ \sf\longmapsto BD^2=18^2+7^2[/tex]

[tex]\\ \sf\longmapsto BD^2=324+49[/tex]

[tex]\\ \sf\longmapsto BD^2=363[/tex]

[tex]\\ \sf\longmapsto BD=\sqrt{363}[/tex]

[tex]\\ \sf\longmapsto BD=19.2[/tex]

Now

Using Pythagorean theorem

[tex]\\ \sf\longmapsto BD^2+CD^2=m^2[/tex]

[tex]\\ \sf\longmapsto m^2=7^2+19.2^2[/tex]

[tex]\\ \sf\longmapsto m^2=49+363[/tex]

[tex]\\ \sf\longmapsto m^2=412[/tex]

[tex]\\ \sf\longmapsto m=\sqrt{412}[/tex]

[tex]\\ \sf\longmapsto m=20.3[/tex]

Nearest value in options is 18

Hence option a is correct

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