Q15 of 51 Page 2

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

Let the base of the triangle be x cm.


By the given condition, we have:
Area of the new triangle = Area of the given triangle

0 = (Transposing to the L.H.S.)
(Multiplying by 3 on both sides)


=120 cm2

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