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

Let the length of the altitude and base of a triangle be l cm and b cm

According to the question

(A)

Area of a triangle

And

Putting (A) we get

Taking LCM of 3 and 1 = 3 on LHS

2b = 24 cm

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