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
icon
Related questions
Question
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
Part 1:
Use the Pythagorean Theorem to find b.
C
OB - (c x)²+h²
06-(a x)+h?
0が-x+が
C
Part 2:
Use the answer from Part 1 to fill in the blanks.
+ h
B
Part 3:
Use the Pythagorean Theorem to find c´.
O c² = (b-x)² +h²
Oc² =x²+h?
O c²=a² -b²
O c² = (a-x)° +h²
Dart 4-
Use the answers from Parts 2 and 3 to fill in the blanks
Continue
Transcribed Image Text: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 Part 1: Use the Pythagorean Theorem to find b. C OB - (c x)²+h² 06-(a x)+h? 0が-x+が C Part 2: Use the answer from Part 1 to fill in the blanks. + h B Part 3: Use the Pythagorean Theorem to find c´. O c² = (b-x)² +h² Oc² =x²+h? O c²=a² -b² O c² = (a-x)° +h² Dart 4- Use the answers from Parts 2 and 3 to fill in the blanks Continue
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Solving Trigonometric Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL