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The area of ΔPQR is 18. If p = 6 and q = 8, find all of the possible measures of ∠R
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The area of a triangle is equal half the product of the dimensions of its two sides by the sine of the angle between them:
S = .
In other words,
18 = , or
18 = , or
= = .
There are two solutions for :
1) = = 0.848 rad = 48.6° (acute angle), and/or
2) = 180 - 48.6 = 131.4° (obtuse angle).
