中1數學題'

2007-08-11 9:21 pm
呢題點做?!
要列式`答案同明數.
THZZ=]

The area of a parallelogram is equal to the area of a triangle.The height of the traingle is 5 cm.If the two figures have the same base , find the height of the parallelogram.
Let the height of the parallelogram be h cm and their bases be b cm.

回答 (3)

2007-08-11 9:38 pm
✔ 最佳答案
area of a parallelogram = bxh
area of a triangle = b x5 /2

The area of a parallelogram is equal to the area of a triangle,
i.e. bxh = b x5 /2
the two figures have the same base => h = 5/2 =2.5 cm
so the height of the parallelogram is 2.5cm
2007-08-11 9:29 pm
area of a parallelogram =area of a triangle
hb=5b/2
2hb=5b
2h=5
h=2.5
2007-08-11 9:26 pm
area of parallelogram = h x b
area of triangle = 5 x b /2

now, their area are equal, i.e. h x b = 5 x b/2
=> h = (5/2) x (b/b) = 5/2 =2.5 cm


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