Math, asked by eklavya74, 1 year ago

PLEASE SOLVE THIS QUESTION

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Answered by Mihir1001

$\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}$

$\huge\boxed{\fcolorbox{red}{#ffdfff}{( x = 5 units ) and ( y = 8 units )}}$

$\LARGE{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

$\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}$

A parallelogram ( ||gm ) ABCD.

Diagonals AC and BD intersect each other at O.

OA = ( 5 + 2x ) units
OB = ( x + y ) units
OC = ( 3x ) units
OD = ( 13 ) units

$\LARGE{\underline{\mathtt{\textcolor{green}{To \: \: find :-}}}}$

X and Y.

$\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \: \: used :-}}}}$

Properties of a Parallelogram.

$\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}$

We know that,

The diagonals of a parallelogram bisect each other.

$\therefore \: \:$ ,

A/Q,

$\longmapsto OA = OC$

$\implies 5 + 2x = 3x$

$\implies 3x - 2x = 5$

$\implies (3 - 2)x = 5$

$\implies x = 5$

and,

$\longmapsto OB = OD$

$\implies x + y = 13$

$\implies 5 + y = 13 \: \: \: \: \: \: \: \: \: \: \: \left[ \because x = 5 \right]$

$\implies y = 13 - 5$

$\implies y = 8$

$\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}$

x = 5 units
y = 8 units

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Answered by MihirRaj11

Answer:

The above answer is very good, correct and to the point.

Step-by-step explanation:

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