Question

The base of the triangle is 3cm longer than its altitude and area is 20cmsq find base and altitude​

Answer 1

Step-by-step explanation:

let the altitude of the triangle be x cm

then,base=(x+3) cm

area=1/2*base*height

since,height=altitude of the triangle

therefore,

20=1/2*x*(x+3)

$x {}^{2} + 3x - 40 = 0 \\ x {}^{2} + 8x - 5x - 40 = 0 \\ (x - 5)(x + 8) = 0$

so,x=5 cm

altitude= 5 cm

base= 8 cm