Question

Two sides of a parallelogram are 20cm and 25cm .If the altitude corresponding to the sides of length 25cm is 10 cm ,find the altitude corresponding to the other pair of sides?

Answer 1

area of parallelogram=25×10=250
so altitude corresponding to the other side=250÷20=12.5

Answer 2

Answer:

$Altitude \: of \: corresponding \:side (H)\\=12.5\:cm$

Step-by-step explanation:

Dimensions of a parallelogram:

Let one side (a) = 20 cm

corresponding altitude = H cm

Second side (b) = 25 cm

it's corresponding side (h)=10 cm,

$Area \: of \: the \: parallelogram \\= base \times corresponding \: altitude$

$Here ,\\a \times H = b \times h$

$\implies 20 \times H = 25 \times 10$

$\implies H =\frac{25 \times 10}{20}$

$\implies H = \frac{25}{2}$

$\implies H = 12.5 \: cm$

Therefore,

$Altitude \: of \: corresponding \:side (H)\\=12.5\:cm$

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