Question

The base of a triangle is 5 cm longer than its height and the area of the triangle is 42 sq. Cm, then base of the triangle isa) 21 cm

b.12 cm

c.8.4 cm

d.13.4 cm

Answer 1

Let the base of triangle = x

Let the height of triangle = (x - 5)

Area of triangle = 1/2 * base*height

42. =1/2 (x) (x-5)

84. =x^2 - 5x

0. = x^2 -5x -84

0. =x^2 -12x +7x -84

= x(x -12) + 7 (x-12)

= (x-12) (x+7)

x =12 cm