Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.6: The Pythagorean Theorem
Problem 11ST
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Step 1
Given a triangle whose two sides with length 14 inch and 30 inch.
We know that sum of length of any two sides of a triangle is greater than the length of third side.
So, length of third side would be such that if we add any two sides then sum is greater than third side.
Let third side be then:
Therefore, length of third side should be greater than 16 inch.
Suppose we take third side as 17 inch.
So, if we add any two sides then it will be will be greater than third side.
14+30=44>17
30+17=47>14
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