The side lengths for AABC are a, b, and c The height of the triangle is h, and BD=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 b. OB? = (c-x)² +n? 8-(a-x)+が 0が-x+が Part 2: Use the answer from Part 1 to fill in the blanks. 2. + h В Part 3: Use the Pythagorean Theorem to find c. Oc²= (b-x)² +h² ○2ニx?+? O c² =a²-b? Oc² = (a-x)² +h? Dart 4 Use the answers from Parts 2 and 3 to fill in the blanks
The side lengths for AABC are a, b, and c The height of the triangle is h, and BD=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 b. OB? = (c-x)² +n? 8-(a-x)+が 0が-x+が Part 2: Use the answer from Part 1 to fill in the blanks. 2. + h В Part 3: Use the Pythagorean Theorem to find c. Oc²= (b-x)² +h² ○2ニx?+? O c² =a²-b? Oc² = (a-x)² +h? Dart 4 Use the answers from Parts 2 and 3 to fill in the blanks
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 42E
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