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Big Ideas Math Geometry, 2014 View details

7. Law of Sines and Law of Cosines

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Exercise 5 Page 508

Use the formula for finding the area of a triangle using sine, 12ab sin C.

≈ 285.6 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=1/2ab sin C Since we are given that a= 38, b= 31, and m∠ C= 29^(∘), we can substitute these values into the formula to find the area. Let's do it!

Area=1/2ab sin C

SubstituteValues

Substitute values

Area=1/2( 38)( 31) sin 29^(∘)

▼

Simplify right-hand side

Multiply

Area=1/2(1178) sin 29^(∘)

MoveRightFacToNumOne

1/b* a = a/b

Area=1178/2 sin 29^(∘)

CalcQuot