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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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.
PLEASE MARK AS BRAINLIEST
(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.
PLEASE MARK AS BRAINLIEST
avnigenius:
Sorry.....there is a Correction in the Q. That the side marked with 7 centimetre is 17 centimetre
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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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