If one member of a pythagorean triplet is 2m, then the other two members are,
a. m, m²+1
b. m²+1, m²-1
c. m², m²-1
d. m², m+1

Solution:

Given, one member of a pythagorean triplet is 2m.

We have to find the other two numbers.

Pythagorean triples formula is used to find the triples or group of three terms that satisfy the pythagorean theorem.

For every natural number m > 1, 2m, m² - 1 and m² + 1 form a pythagorean triplet.

Other two members are m² - 1 and m² + 1

Example: Consider 2m = 4

m = 4/2

m = 2

So, m²-1 = (2)² - 1

= 4 - 1

= 3

So, m²+1 = (2)² + 1

= 4 + 1

= 5

The pythagorean triplet is 3, 4, 5.

Therefore, the other two members are m²+1, m²-1

✦ Try This: Find the other two members of pythagorean triplet, if the smallest member is 8.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 10

If one member of a pythagorean triplet is 2m, then the other two members are, a. m, m²+1, b. m²+1, m²-1, c. m², m²-1, d. m², m+1

Summary:

If one member of a pythagorean triplet is 2m, then the other two members are m² + 1 and m² - 1.

☛ Related Questions:

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• Which of the following numbers is a perfect cube? a. 243, b. 216, c. 392, d. 8640