Question

write a pythagorean triplet whose smallest member is ?
(6)​

Answer 1

Step-by-step explanation:

Heya!! Here is your answer friend ⤵⤵

➡PYTHAGOREAN TRIPLET ⬅

Smallest member = 6

2m = 6

m= 3

m {}^{2} + 1 \\ 9 + 1 \\ = 10 \\ \\ m {}^{2} - 1 \\ 9 - 1 \\ = 8

Hence the triplet is 6 , 8 , 10.

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Hope it helps you ✌✌

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Pythagorean triplet is 6,8 and 10.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Smallest number required = 6

To Find :

The pythagorean triplet whose smallest member is 6

Solution :

We know that -

$\textbf{\small{\underline{Phythagorean Triplet =}}}$

• 2m
• m² - 1
• m² + 1

Smallest number = 2m

It is Given that Smallest number should be 6.

$\longrightarrow$ 2m = 6

$\longrightarrow$ m = 6/2

$\longrightarrow$ m = 3

$\rule{300}{1.5}$

★ Value of m² - 1

$\longrightarrow$ (3)² - 1

$\longrightarrow$ 9 - 1

$\longrightarrow$ 8 ........ [One Number]

$\rule{300}{1.5}$

★ Value of m² + 1

$\longrightarrow$ (3)² + 1

$\longrightarrow$ 9 + 1

$\longrightarrow$ 10 ....... [Second Number]

The Pythagorean triplet is 6,8 and 10.

$\rule{300}{1.5}$

Check if the triplet is Pythagorean triplet or not.

Longest side = 10 = Hypotenuse

$\textbf{\small{\underline{According to Pythagoras Theorum :}}}$

★ (Hypotenuse)² = (Base)² + (Height)²

$\longrightarrow$ (10)² = (6)² + (8)²

$\longrightarrow$ 100 = 36 + 64

$\longrightarrow$ 100 = 100

$\therefore$ The Pythagorean triplet is 6,8 and 10.