Question

the ratio of the base and height of a triangle are 4:3 if the area of the triangle is 216m find the length and height

Answer 1

Answer:

24 m and 18 m

Step-by-step explanation:

Ratio of the base and height=4:3

Let base=4x

height=3x

Area of the triangle=216 m^2

1/2 bh=216

1/2 ×4x×3x=216

x square=(216*2)/12

x square=36

x=√36

x=6

Base=4x=4(6)=24 m

Height=3x=3(6)=18 m

Answer 2

let base be 4x and height be 3x

area of the triangle = ½ × base × height

216= ½ × 4x× 3x

216×2 = 12x²

432/12 = x²

x² = 36

x = √36

x = 6

so

length = 4 × 6 = 24

height = 3× 6 = 18