(a)
To Find:
The length of the red segment using the Pythagorean Theorem.
(a)
Answer to Problem 59PPS
Explanation of Solution
Given Information:
Use the Pythagorean Theorem to prove that the length of the red segment is
Concept Used :
Pythagorean Theorem:
The Pythagorean theorem, is a fundamental relation among the three sides of a right
Calculation:
(b)
To Draw:
Extend the segment to represent
(b)
Explanation of Solution
Given Information:
Concept Used :
Pythagorean Theorem:
The Pythagorean theorem, is a fundamental relation among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Calculation:
(c)
To Prove:
(c)
Explanation of Solution
Concept Used :
In an isosceles right angled triangle , the length of the hypotenuse is greater than any one the side .
Calculation:
Hence , proved.
(d)
To Graph:
A square in the dot paper whose sides are
(d)
Explanation of Solution
Concept Used :
Pythagorean Theorem:
The Pythagorean theorem, is a fundamental relation among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Calculation:
(e)
To Prove:
The area of the square is
(e)
Explanation of Solution
Concept Used :
Calculation:
Chapter 6 Solutions
Glencoe Algebra 2 Student Edition C2014
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