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Example 1 A. We are going to prove the Pythagorean Theorem! Use the following picture to separate out the "small", "medium" and "large" triangles. Label each triangle with the appropriate vertex and side labels. 4. B. "small" "large" "medium" Based on what we did in Lesson 6, we know that all 3 triangles are similar, so we can set up proportions. a. Which two triangles share LB? Write a proportion that compares these two triangles using the ratio longer leg:hypotenuse, then perform cross products. b. C. What two triangles share LA? Write a proportion that compares these two triangles using the ratio shorter leg:hypotenuse, then perform cross products. d. e. Our goal is to show that a + b = c. Let's use substitution and our cross products.

Example 1 A. We are going to prove the Pythagorean Theorem! Use the following picture to separate out the "small", "medium" and "large" triangles. Label each triangle with the appropriate vertex and side labels. 4. B. "small" "large" "medium" Based on what we did in Lesson 6, we know that all 3 triangles are similar, so we can set up proportions. a. Which two triangles share LB? Write a proportion that compares these two triangles using the ratio longer leg:hypotenuse, then perform cross products. b. C. What two triangles share LA? Write a proportion that compares these two triangles using the ratio shorter leg:hypotenuse, then perform cross products. d. e. Our goal is to show that a + b = c. Let's use substitution and our cross products.

Advanced Engineering Mathematics
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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Example 1 A. We are going to prove the Pythagorean Theorem! Use the following picture to separate out the "small", "medium" and "large" triangles. Label each triangle with the appropriate vertex and side labels. B. a "medium" "small" "large" Based on what we did in Lesson 6, we know that all 3 triangles are similar, so we can set up proportions. а. Which two triangles share LB? Write a proportion that compares these two triangles using the ratio longer leg:hypotenuse, then perform cross products. b. C. What two triangles share ZA? Write a proportion that compares these two triangles using the ratio shorter leg:hypotenuse, then perform cross products. d. e. Our goal is to show that a + b = c. Let's use substitution and our cross products.
Transcribed Image Text:Example 1 A. We are going to prove the Pythagorean Theorem! Use the following picture to separate out the "small", "medium" and "large" triangles. Label each triangle with the appropriate vertex and side labels. B. a "medium" "small" "large" Based on what we did in Lesson 6, we know that all 3 triangles are similar, so we can set up proportions. а. Which two triangles share LB? Write a proportion that compares these two triangles using the ratio longer leg:hypotenuse, then perform cross products. b. C. What two triangles share ZA? Write a proportion that compares these two triangles using the ratio shorter leg:hypotenuse, then perform cross products. d. e. Our goal is to show that a + b = c. Let's use substitution and our cross products.
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