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3 years ago

The measure of ∠BAC is π/3 radians and the measure of ∠CAD is π/2 radians. What is the measure of ∠BAD?

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

9514 1404 393

Answer:

5π/6 radians

Step-by-step explanation:

The whole is the sum of the parts.

∠BAD = ∠BAC +∠CAD

∠BAD = π/3 + π/2 = π(2/6 + 3/6)

∠BAD = 5π/6

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3 years ago

In abc above,what is the length of ad

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

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{BD}{BC}$ = $\frac{BD}{12}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

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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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3 years ago