Question

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

Answer 1

heightvis 2vand base is 3

Answer 2

Answer:

let the base be x

so altitude is ⅔x

increased altitude is ⅔x+4

decrease base x-2

atq

area of triangle is ½(b)(h)

½(x)(⅔x)=½(⅔x+4)(x-2)

⅓x²=⅓x²+4/3x-4

4=⁴/3x

x=3cm

altitude =⅔x=⅔(3)=2

base=x=3

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