Length of base of a triangle is 2 more than its height if area is 48 squares form a quadratic equation to find the base and heigh

1 thought on “Length of base of a triangle is 2 more than its height if area is 48 squares form a quadratic equation to find the base and heigh”

1. Answer:

   Base = (4√6+1) cm

   Height = (4√6-1) cm

   Step-by-step explanation:

   Let the height be h

   Therefore, base = (h+2)

   Also, given that,

   Area = 48 cm sq.

   But, we know that,

   Area of triangle = ½ × base × height

   Substitute the respective values to get,

   => ½ × (h+2) × h = 48

   => h(h+2) = 48×2

   => h^2 + 2h = 96

   => h^2 + 2h – 96 = 0

   => h = {-2 ± √(2^2 -4(1)(-96))}/2(1)

   => h = (-2±√(4+382))/2

   => h = (-2±√386)/2

   => h = (-2±2√96)/2

   => h = -1±√96

   => h = -1±4√6

   But length can’t be negative.

   Therefore,

   => Height = -1+4√6 cm

   And

   => Base = 1+4√6 cm

   Reply