Question

e
13. Find the Pythagorean triplets, one of whose numbers is :
(a) 10
(b) 12
(c) 18
(d) 22
14. Express each of the following perfect squares as the sum of similar numbers:
(e) 30​

Answer 1

Answer:

13Q

a) Pythagorean triplets whose one of numbers is 10 : (6,8,10)

6^2 + 8^2 = 10^2

b) Pythagorean triplets whose one of numbers is 12 : (5,12,13)

5^2 + 12^2 = 13^2

c) Pythagorean triplets whose one of numbers is 18 : (18, 80,82)

18^2 + 80^2 = 82^2

d) Pythagorean triplets whose one of numbers is 22 : (22, 120,122)

22^2 + 120^2 = 122^2

Step-by-step explanation:

Pythagorean triples are a^2+b^2 = c^2 where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.