Question

pls answer this question ​

Answer 1

Thinking process

(i) Determine the area of ABCD by using Heron’s formula.

(ii) Using relation, area of parallelogram ABCD =2 (Area of ΔBCD)

(iii) Also, determine the area of parallelogram by using the formula Base x Altitude.

(iv) Further, equating the area of parallelogram in (ii) and (iii). Obtain the required length of the altitude.

solution:: 3 x 3 x 5 x 2 cm2

Area of parallelogram ABCD = 2 x 90

= 180 cm2 …(ii)

Let altitude of a parallelogram be h.

Also, area of parallelogram ABCD =Base x Altitude

⇒  180 = DC x h [from Eq. (ii)]

⇒  180 = 12 x h

∴ h = 180/12= 15 cm

Hence, the area of parallelogram is 180 cm2 and the length of altitude is 15 cm.

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