FIND THE OTHER TWO NUMBERS OF PYTHAGOREAN TRIPLET PRACTICE QUESTIONS

One of the members of the Pythagorean Triplet is given below. Find the other numbers .

Problem 1 :

(6,----,-----)

Solution

Problem 2 :

(9,----,---)

Solution

Problem 3 :

(-----,8,----)

Solution

Problem 4 :

(-------, 24,------)

Solution

Problem 5 :

Which of the following triplet is a Pythagorean Triplet:

a. (4, 5, 6)    b. (11, 60, 61)     c. (10, 8, 6)    d. both b and c

Solution

Problem 6 :

If m, n, p are natural numbers such that (m, n, p) forms a Pythagorean triplet if ?

a.  m2+n= p2        b. m2+n< p2        c. m2+n> p2

d. m2+n p2

Solution

Problem 7 :

Write a Pythagorean triplet whose one number is

a) 6     b) 14      c) 16

Solution

Answer Key

1)  the required Pythagorean triple is 6, 8 and 10.

2)  the required Pythagorean triplet is (9, 40 and 41)

3)  the Pythagorean triplet is (6, 8 and 10).

4)  the Pythagorean triplet is (10, 24 and 26).

5)  Hence the correct answer is option d.

6)  m2+n= p

7)  a)   the required Pythagorean triple is (6, 8, 10).

b)  the required Pythagorean triple is (14, 48, 50).

c)  the required Pythagorean triple is (9, 80, 82)

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