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3 years ago

If Ab = 54, find MC.

Mathematics

1 answer:

AnnyKZ [126]3 years ago

8 0

Answer:

MC = 45

Step-by-step explanation:

Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is

$\frac{AB}{MC}$ = $\frac{AH}{MH}$ , substitute values

$\frac{54}{MC}$ = $\frac{6}{5}$ ( cross- multiply )

6MC = 270 ( divide both sides by 6 )

MC = 45

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Nezavi [6.7K]

Answer:

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , thus

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-----------------------------------------------------------

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , thus

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