CliffsNotes Trigonometry Common Core Quick Review by M. Sunil R. Koswatta

Author:M. Sunil R. Koswatta [M. Sunil and R. Koswatta]
Language: eng
Format: epub
ISBN: 9780544734166
Publisher: HMH Books
Published: 2017-11-15T00:00:00+00:00

By substituting the values of h1, h2, and h3 in Theorem 6.14, we get the following theorem.

Theorem 6.15: Let Δ ABC be a triangle with the adopted convention. Then, the .

Example 18: Two sides of a triangle have measures of 25 and 12. The measure of the included angle is 51°. Find the area of the triangle.

Let the triangle be Δ ABC and let a = 25, b = 12, and γ = 51°.

By Theorem 6.15,

Example 19: Find the area of the triangle shown in the following figure.

If we can find either a or b, then we can use Theorem 6.15 to find the area of the triangle. By Theorem 6.10, γ = 35°. By using the Law of Sines Theorem, we can find a.

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