Question

The altitude of a triangle is two-third the length of its corresponding base. If the altitude increased by 4 cm and the base decreased by 2cm , the area of the triangle remains the same . Find the base and the altitude of the triangle

Answer 1

get base of triangle =a

attitude of triangle=2a/3

therefore

$area \: of \: triangle = 2 \div 3 \times \ {a}^{2}$

according according to question

$(a - 2)(2a \div 3 + 4) = 2 {a}^{2} \div 3$

next solutions. in figure