Question

Two sides of a parallelogram are 10 cm and 12 cm.If the altitude corresponding to the side of length 12cm is 15cm,find the altitude of corresponding to the other side​

Answer 1

Answer:

The altitude corresponding to the other side 10 cm is 18 cm.

Step-by-step explanation:

$Since \: we \: have \: given \: that \\ length \: of \: sides \: = 10 cm \: and \: 12 cm. \\ Altitude \: corresponding \: to \: the \: side \: of \: length \: 12 cm \: is \: 15 cm. \\ Area \: of \: parallelogram \: is \: given \: by \\ Area \: = \: base \times \: height \\ Area \: = \: 12 \: \times \: 15 \\ Area = \: 180 ^{2} \\ So, \: the \: altitude \: corresponding \: to \: the \: side \: of \: length \: 10 cm \: is \: given \: by \\ 180 = 10 \: \times \: h \\ \frac{180}{10} = h \: \\ 18 = h \\ Hence, \: the \: altitude \: corresponding \: to \: the \: other \: side \: 10 cm \: is \: 18 cm.$

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