Question

If (x,30,34) is a Pythagorean triplet then the value of x is​

Answer 1

Answer:

the triplets should satisfy this (2m,m²-1,m²+1)

so the answer is 16, X=16

Step-by-step explanation:

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Answer 2

Answer :-

• The value x is 16.

To find :-

• The value of x.

Step-by-step explanation :-

• Here, it is given that (x, 30, 34) is a Pythagorean triplet. We have to find the value of x!

We know that, in a right angled triangle :-

$\bigstar \: \underline{\boxed{\sf{Perpendicular}^{2} + {Base}^{2} = {Hypotenuse}^{2}}}$

Here :-

• Base = 30.
• Hypotenuse = 34.

Let :-

• "x" be the perpendicular.

Then :-

$\longrightarrow$ P² + B² = H²

$\longrightarrow$ x² + 30² = 34²

$\longrightarrow$ x² + 900 = 1156

$\longrightarrow$ x² = 1156 - 900

$\longrightarrow$ x² = 256

$\longrightarrow$ x = √256

$\longrightarrow$ x = 16

Hence :-

• The value of x is 16.

________________________________

Verification :-

• To check our answer, let's substitute the value of "x" in the equation and see whether LHS = RHS.

LHS :

$\longrightarrow$ x² + B²

$\longrightarrow$ 16² + 30²

$\longrightarrow$ 256 + 900

$\longrightarrow$ 1156

RHS :

$\longrightarrow$ H²

$\longrightarrow$ 34²

$\longrightarrow$ 1156

LHS = RHS.

Hence verified!!

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