Question

Find the value of x in the triangle shown below​

Answer 1

The answer is A, square root of 27=5.196

Answer 2

`\huge\bold{Given:}`

Length of the perpendicular = 3

Length of the hypotenuse = 6

`\huge\bold{To\:find:}`

The value of ''
`x`".

`\huge\bold{Solution:}`

`\longrightarrow{\purple{A.\:x\:=\:√27}}`

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}`

Using Pythagoras theorem, we have

( Perpendicular )² + ( Base )² = (Hypotenuse)²

`\longrightarrow{\blue{}}` ( 3 )² +
`{x}^(2)` = ( 6 )²

`\longrightarrow{\blue{}}` 9 +
`{x}^(2)` = 36

`\longrightarrow{\blue{}}`
`{x}^(2)` = 36 - 9

`\longrightarrow{\blue{}}`
`{x}^(2)` = 27

`\longrightarrow{\blue{}}`
`x` =
`√(27)`

Therefore, the length of the missing side
is
`√(27)`.

`\huge\bold{To\:verify :}`

`\longrightarrow{\green{}}` ( 3 )² + ( √27 )² = ( 6 )²

`\longrightarrow{\green{}}` 9 + 27 = 36

`\longrightarrow{\green{}}` 36 = 36

`\longrightarrow{\green{}}` L. H. S. = R. H. S.

Hence verified. ✔

`\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}`