Question

the area of a triangle is 3x² + 18 x + 24 and the base is 2 x + 8 find the height of a triangle​

Answer 1

Answer:

area of the triangle=3x^2+18x+24

=3(x^2+6x+8)

=3(x^2+4x+2x+8)

=3{x(x+4)+2(x+4)}

=3(x+4)(x+2)

base of the triangle=2x+8

=2(x+4)

we know,

1/2.base.height=area

=> height=area×2/base

=3(x+4)(x+2)×2/2(x+4)

=3(x+2)

height of the triangle =3(x+2) unit