Find a,b,c ∈ ℕ such that 50
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 30EQ
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Find a,b,c ∈ ℕ such that 50<a<b<c and a, b, c are the lengths of the sides of a right triangle. Write a,b, and c separated by commas: that is, if a=1, b=2, and c=3
Expert Solution
Step 1
Given,
a,b,c ∈ ℕ such that 50<a<b<c and a, b, c are the lengths of the sides of a right triangle.
Step 2
We have to find a,b,c ∈ ℕ such that 50<a<b<c and a, b, c are the lengths of the sides of a right triangle.
Using Pythagoras theorem, we have
a2 + b2 = c2.
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