Math, asked by avnigenius, 10 months ago

find the area of a parallelogram given in the figure also find the length of the altitude from vertex a on side DC​

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Answered by swagger36
84
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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avnigenius: Sorry.....there is a Correction in the Q. That the side marked with 7 centimetre is 17 centimetre
Answered by GK1971
11

Answer:

Hello There,

This is your answer.

Step-by-step explanation:

HOPE THIS ANSWER HELPS YOU!!!

I HAVE CHANGED 7 CM AS 17 CM IN MY ATTACHMENT.

HAVE A GREAT DAY AHEAD!!!

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