Math, asked by akhilhpr752, 1 year ago

The area of trapezium is 1586 cm² and sum of parallel sides is 122 can. Find the distance between two parallel sides.

Answers

Answered by singh90

The required distance between two parallel sides is 6.5cm

Answered by Battleangel

$<body bgcolor="cyan"$

$\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}$

$\blue{1586 {cm}^{2} = \frac{1}{2} \times122cm \times h }$

$\purple{1586 {cm}^{2} = \frac{122cm}{2} \times h }$

$\pink{ \frac{1586{cm}^{2} \times 2}{122 \: cm} = h }$

$\green {\dfrac{3172 \cancel{{cm}^{2}}}{122 \cancel {cm}} = h}$

$\orange{ \cancel \frac{3172cm}{122} = h}$

$\implies \: 26cm = h$

$hence \: the \: distance \: between \: the \: parallel \\ sides = 26 \: cm \:$

$<marquee scrollamount=1200>hope this helps you xD ✌❤</marquee>$

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