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Right
Right triangles have an important property that the sum of the squares of the two legs of a right triangles have an important property that the sum of the squares of the two legs of a right triangle equals the square of the hypotenuse. This fact is referred to as the Pythagorean theorem. In symbols, the Pythagorean theorem is stated as:
Now equate the two expressions representing the area of the large outer square:
To calculate: The expression representing the area of large outer square. The figure is as follows:
Answer to Problem 3GA
Solution:
Equating the area of large outer square to the sum of area of Inner Square and area of four right triangle gives
Explanation of Solution
Given Information:
The area of Inner Square is
Formula Used:
The area of square is
The area of right-angle triangle is
Calculation:
Consider the given figure.
Steps to determine the area of large outer square:
Step1: First determine the area of Inner Square and area of four right triangles.
Step2: Then add both areas which is equal to area of large outer square.
Area of Inner Square is
Now, add these two areas and equate it to the area of large outer square.
Clear the parenthesis on both sides of the equation.
Subtract
Thus, equating the area of large outer square to the sum of area of Inner Square and area of four right triangle gives
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Chapter 5 Solutions
Beginning and Intermediate Algebra
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