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In △ABC, AB=6 cm, AC=15 cm, and m∠A=48°. What is the area of △ABC?

Round only your final answer to the nearest hundredth.

Kakarot_15  May 28, 2017
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5+0 Answers

 #1
avatar+4747 
+2

 

Let's let the base of this triangle be 15 cm, and the height be the skinny purple line.

 

sin θ = opposite / hypotenuse

sin 48º    = height / 6

6 sin 48º = height

 

area = (1/2)(base)(height)

area = (1/2)(15)(6 sin 48º)

 

area ≈ 33.44 cm2

hectictar  May 28, 2017
 #2
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+1

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Guest May 28, 2017
 #3
avatar+4747 
+2

Wow! Thank you Guest, I sure do appreciate that! smiley

hectictar  May 28, 2017
 #4
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+1

Yes, she will. However, H. is already something great – This is visible in the present. Her future holds boundless wonders.

Guest May 28, 2017
 #5
avatar+4747 
+1

Haha! I do my fair share of dumb things too! But thanks smiley

hectictar  May 28, 2017

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