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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. 8.5
B. 8.2
C. 13
D. 4

What is the value of m in the figure below If necessary round your answer to the nearest tenth of a unit A 85 B 82 C 13 D 4 class=

Respuesta :

Hrishii

Answer:

B. 8.2

Step-by-step explanation:

[tex] In\: \triangle ABC, \:\angle ABC= 90\degree \: \&\: BD\perp AC[/tex]

So, by geometric mean property.

[tex] BD = \sqrt {AD\times CD} \\

BD = \sqrt {13\times 4}\\

BD = \sqrt {52}\\

Next\: in \: \triangle BDC, \:\\

By\: Pythagoras \: theorem \\

m^2 = BD^2 + CD^2 \\

m^2 = (\sqrt {52}) ^2 + (4)^2 \\

m^2 =52 + 16\\

m^2 =68\\

m =\sqrt{68} \\

m = 8.24621125\\

m = 8.2 [/tex]

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