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Length of the adjacent side of …

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Length of the adjacent side of a parallelogram are 16 and ? and corresponding altitude of these sides are respectively 8 & 10 find the value of ? .

Posted by Ravi Ranjan Gupta 8 years, 4 months ago

CBSE > Class 09 > Mathematics

3 answers

Yashvi Khandelwal 8 years, 4 months ago

First,find the area of parallelogram by Base × Height = 16×8 = 128 Secondly , by another height get the another length of parallelogram : Base × Height 128 = b × 10 b = 12.8

0Thank You

Rajeev Malhotra 8 years, 4 months ago

Let ABCD is a parallelogram and AC is a diagonal. The diagonal AC divides a parallelogram in to two congruent triangles.

Given , one side = 16 cm and corresing altitude = 8 cm. So its area = base x height /2 = 16x8/2= 8x8= 64 cm²

The area of another triangle will also be 64 cm²

^{64=base x height/2}

^{64= base x10/2}

^{64=5x base}

^{base= 64/5 = 12.8 cm . So another side is 12.8 cm long.}

0Thank You

Ravi Ranjan Gupta 8 years, 4 months ago

12.8

1Thank You

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CBSE > Class 09 > Mathematics