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Answer:
The given sides of the traingle are 13cm, 14cm and 15cm. Let a=13cm, b=14cm and c=15cm.
So, semi-perimeter of the triangle is:
s= (a+b+c)/2 = (13 + 14 + 15)/2 = 21 cm
We know,
The area of a triangle is:
A = [s(s-a)(s-b)(s-c)]^1/2
=[21(21-13)(21-14)(21-15)]^1/2
=[21×8×7×6]^1/2
=[7056]^1/2
=84 cm^2
Now,
The area of the triangle and parallelogram is same and both have same bas i.e. 14 cm.
So,
The area of parallelogram is also:
A=84 cm^2
or, b×h=84 [As area of parallelogram = b×h]
or, 14×h=84
or,h = 84/14
Hence, h = 6cm
Thus, the required height of the parallelogram is 6cm.
Step-by-step explanation:
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