1) Write a similarity statement for the three triangles shown. -A 2) Write a proportion for sides a, c, and e You will need to find 2 triangles that share these three sides as the same 2 TYPES of sides (long, short hypotenuse) 3) Write a proportion for sides b, c, and d. You will need to find 2 triangles that share these three sides as the same 2 TYPES of sides (long, short, hypotenuse) a B.
1) Write a similarity statement for the three triangles shown. -A 2) Write a proportion for sides a, c, and e You will need to find 2 triangles that share these three sides as the same 2 TYPES of sides (long, short hypotenuse) 3) Write a proportion for sides b, c, and d. You will need to find 2 triangles that share these three sides as the same 2 TYPES of sides (long, short, hypotenuse) a B.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Pythagorean Theorem Proof - Task 6
1) Write a similarity statement for the three triangles shown.
A
A A_
2) Write a proportion for sides a, c, and e You will need to find 2 triangles that share these three
sides as the same 2 TYPES of sides (long, short, hypotenuse)
3) Write a proportion for sides b, c, and d. You will need to find 2 triangles that share these three
sides as the same 2 TYPES of sides (long, short, hypotenuse)
a
B.
4) Use cross-product property (cross multiply) to write BOTH proportions from 2) and 3) as equations.
5) You can add two equations by adding the two left sides and adding the two right sides together. Do this with your
equations from step # 4.
6) Re-write your equation for 5) by factoring cd + ce to get c(d + e).
7) Use Segment Addition Postulate and the triangle diagram to fill in the blanks: d+ e =
8) Substitute your answer for 7) into your equation for 6). What theorem have you found?
Special Right Triangles
Task 7: Solve for the missing sides.
DELL
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