Please what is the length of altitude AE vertex A on side BC . FROM THE FROM GIVEN DIAGRAM
Answers
Answer:Diagram is not given here.
Step-by-step explanation:
If a triangle and a parallelogram are on the same base and between the same parallels, then the area of triangle is equal to half the area of the parallelogram.
Answer:
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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