Q. 173.6( 52 Votes )

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.

Answer :

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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