Question

write a pythogorean triplet whose one member is 15​

Answer 1

Step-by-step explanation:

Pythagorean Triplets are 8 , 15 and 18

8

2

+15

2

=17

2

∴Tripletis8,15,17

Answer 2

Question

Write a Pythagorean Triplet whose one member is 15

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Answer

A Pythagorean triplet is found in right angled triangle. So right now in the question we know that one of the member is 15. In a Pythagorean triplet we have base, height and hypotenuse. So the formula for each is ⇒

• Base ⇒ 2m
• Height ⇒ m² - 1
• Hypotenuse ⇒ m² + 1

So now we will cross check which part of the Pythagorean triplet can 15 be in.

Base

2m = 15

m = 15 ÷ 2

m = 7.5

∴ 15 isn't the base because the numbers in the Pythagorean triplet is always a whole number.

Height

m² - 1 = 15

m² = 15 + 1

m² = 16

m = √16

m = 4

∴ 15 could be the height because while solving the equation the value of 'm' is not in decimal and has a whole value.

Hypotenuse

m² + 1 = 15

m² = 15 - 1

m² = 14

m = √14

∴ 15 isn't the hypotenuse because the numbers in the Pythagorean triplet is always a whole number.

∴ 15 is the base.

With the value of 'm', we will find the base and hypotenuse.

Base

2m

2 × 4 = 8

∴ The Base is 8.

Height

m² - 1

4² - 1

16 - 1

15

∴ The height is 15.

Hypotenuse

m² + 1

4² + 1

16 + 1

17

∴ The hypotenuse is 17.

∴ The Pythagorean Triplet whose one member is 15 is ⇒ 8, 15 and 17.

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