Question

the altitude of a triangle is two thirds of the length of corresponding base if in the altitude is increased by 4 cm and base is decreased by 2 cm the area of a triangle remains the same find the base and the altitude of the triangle

Answer 1

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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Answer 2

An altitude of a triangle is five-thirds the length of its corresponding base. If the altitude be increased by 4cm  and the base decreased by 2cm, the area of the triangle remains the same. Find the base and the altitude of the triangle.