Question

the base and height of a triangle are in the ratio of 5:3. if area of the triangle is 40m. find its base and height

Answer 1

let the base be 5x and the height be 3x
area of the triangle = 1/2×base × height
=> 1/2×5x×3x=40m^2
=> x= 4/1.732
base = 5×4/1.732
height =3×4/1.732

Answer 2

area=
$\frac{1}{2} \times 5x \times 3x = 40 \\ = )7.5 {x}^{2} = 40 \\ = )x = 2.30940 \\ = > 5x = 5 \times 2.3094 \\ = > 3x = 3 \times 2.3094$