The altitude of a triangle is five-thirds the length of its corresponding base. If the altitude is 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.

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Solution

Let the base of the triangle be x cm. Then the altitude of the triangle will be cm.

Original area of the triangle =

Area of the new triangle =

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The altitude of a triangle is five-thirds the length of its corresponding base. If the altitude is 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. Then the altitude of the triangle will be cm. Original area of the triangle = Area of the new triangle =

Let the base of the triangle be x cm. Then the altitude of the triangle will be cm.

Original area of the triangle =

Area of the new triangle =