The side lengths for AABC are a, b, and c The height of the triangle is h, and AD=x. Complete the steps below to prove the Law of Cosines. When filling in the blanks, you may use the letters a, b, c, x, and h a Part 1: Use the Pythagorean Theorem to find a". O a² = (c-x)² +h? O a² = c² -x² Oa²-(b-x)²+h² Oa² =x²+h² Part 2: Use the answer from Part 1 to fill in the blanks. 2 +h +0 - 2-00 a Part 3: Use the Pythagorean Theorem to find b. O6?=(6-x)²+h? =x¯+h OB?-(a-x)²+h?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.6: Segments Divided Proportionally
Problem 38E: In right ABC with right C,AD bisects BAC. If AC=6 and DC=3, find BD and AB. HINT: Let BD=x and...
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The side lengths for AABC are a, b, and c
The height of the triangle is h, and AD =x.
Complete the steps below to prove the Law of Cosines.
When filling in the blanks, you may use the letters a, b, c, x, and h
Part 1:
Use the Pythagorean Theorem to find a
a
O a² = (c-x)² +h²
O a² = (b-x)²+h²
a² = x² +h?
Part 2:
Use the answer from Part 1 to fill in the blanks.
2
+ h
T -
2-000
Part 3:
Use the Pythagorean Theorem to find b.
6°=(6-x)²+h²
06²=x²+h?
Transcribed Image Text:The side lengths for AABC are a, b, and c The height of the triangle is h, and AD =x. Complete the steps below to prove the Law of Cosines. When filling in the blanks, you may use the letters a, b, c, x, and h Part 1: Use the Pythagorean Theorem to find a a O a² = (c-x)² +h² O a² = (b-x)²+h² a² = x² +h? Part 2: Use the answer from Part 1 to fill in the blanks. 2 + h T - 2-000 Part 3: Use the Pythagorean Theorem to find b. 6°=(6-x)²+h² 06²=x²+h?
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