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3 years ago

In the right △ABC with m∠C=90°, m∠B=75°, and AB = 12 cm. Find the area of △ABC.

Mathematics

1 answer:

azamat3 years ago

7 0

Given that ABC is a right angle triangle with m∠C=90°, m∠B=75° and AB=12cm.

Area of triangle =

So we need to find BC,AC now.

To find them let us take sinB and cosB.

SinB =

BC = 12* cos B = 12* cos 75

So, area =

= 72*sin(75)*cos(75)

= 36*(2sin(75)cos(75))

= 36*sin(150) = 18

Hence area of triangle is 18

Hope this helps tbh sorry I was a little late btw (:

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