body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Dashboard

Big Ideas Math Geometry, 2014 View details

7. Law of Sines and Law of Cosines

Finish the assignment

Continue to next subchapter

Exercise 10 Page 513

Use the formula for finding the area of a triangle using sine, 12bc sin A.

≈ 333.5 square units

Practice makes perfect

We want to find the area of △ ABC.

To do so, we will use the formula for finding the area of a triangle using sine. Area=1/2bc sin A Since we are given that b= 28, c= 24, and m∠ A= 83^(∘), we can substitute these values into the formula to find the area. Let's do it!

Area=1/2bc sin A

SubstituteValues

Substitute values

Area=1/2( 28)( 24) sin 83^(∘)

▼

Simplify right-hand side

Multiply

Area=1/2(672) sin 83^(∘)

MoveRightFacToNumOne

1/b* a = a/b

Area=672/2 sin 83^(∘)

CalcQuot