Use the following figure to prove the Pythagorean Theorem by first proving that the quadrilateral with side c is a square. Then, compute the area of the square with side a+bin two ways: as (a+b) and as the sum of the areas of the four triangles and the square with side a. Choose the correct answer below. O A. Since all the angles are equal the quadrilateral is a square. OB. Since each side is equal to c the quadrilateral is a square. OC. Since each angle is 90° and each side is equal to c the quadrilateral is a square. OD. Since each angle is 00° the quadrilateral is a square. The area of the square using side length of a +b is The area of the square as the sum of the areas of the four triangles and square with side o is Since the two areas are for the same figure. they must be equal, thus, V The V term will cancel out and the result is
Use the following figure to prove the Pythagorean Theorem by first proving that the quadrilateral with side c is a square. Then, compute the area of the square with side a+bin two ways: as (a+b) and as the sum of the areas of the four triangles and the square with side a. Choose the correct answer below. O A. Since all the angles are equal the quadrilateral is a square. OB. Since each side is equal to c the quadrilateral is a square. OC. Since each angle is 90° and each side is equal to c the quadrilateral is a square. OD. Since each angle is 00° the quadrilateral is a square. The area of the square using side length of a +b is The area of the square as the sum of the areas of the four triangles and square with side o is Since the two areas are for the same figure. they must be equal, thus, V The V term will cancel out and the result is
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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