Question

An altitude of a triangle is
the length of its corresponding base.If the altitude were increased by 4 cm and base decreased by 2 cm, the area of the triangle would remain the same, find the base and altitude the triangle.​

Answer 1

Answer:

Let the base be X

Then altitude = 5/3 X

New altitude = (5X+12)/3

New base = X-3

:-) 5X^2/6= (5X^2-3X -36)/6

:-) 3X=36

:-) X=12

Hence,base is 12cm and altitude is 20cm

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