Question

the adjacent sides of a parallelogram are 12cm and 8 cm. the length of the altitude corresponding to the side 12 cm is 6 cm. find the length of the altitude corresponding to the other side

Answer 1

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Answer 2

The length of the altitude corresponding to the other side is 9 cm

Step-by-step explanation:

The adjacent sides of a parallelogram are 12 cm and 8 cm.

Height corresponding 12 cm base = 6 cm

Area of parallelogram = $Base \times height =12 \times 6 = 72 cm^2$

let h be the Height corresponding 8 cm base

Area of parallelogram =$8 \times h$

So,$8 \times h = 72$

$h = \frac{72}{8}$

h = 9 cm

Hence The length of the altitude corresponding to the other side is 9 cm

#Learn more;

One side of a parallelogram is 54 cm and the corresponding altitude is 16 cm if the altitude corresponding to the adjacent side is 24 centimetre find the length of the other side

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