If (a, b, c) is non-primitive, and the integers have f greater than 1 as a common factor Class 8

If (a, b, c) is non-primitive, and the integers have f greater than 1 as a common factor Class 8

Question 1.

If (a, b, c) is non-primitive, and the integers have f — greater than 1 — as a common factor, then is [latex]\left(\frac{a}{f}, \frac{b}{f}, \frac{c}{f}\right)[/latex] a Baudhayana triple? Check this statement for (9, 12, 15). Justify this statement. Class 8

Solution:

Yes. For example in (9, 12, 15), f = 3 and [latex]\left(\frac{9}{3}, \frac{12}{3}, \frac{15}{3}\right)[/latex] = (3, 4, 5) is Baudhayana triple.

Question 2.

What is the sum of first (n - 1) odd numbers ? Class 8

Solution:

It is (n - 1)².