1.333
Step-by-step explanation:
slope =y2-y1
x2-x1.
slope =14-2
= 19-10
slope=12
=9
slope= 1.333
The larger right triangle with hypotenuse x + 5 and short leg x + 2 is similar to the smaller right triangle with hypotenuse x + 2 and short leg x.
Because of this similarity, we have
(x + 5)/(x + 2) = (x + 2)/x
Solve for x:
x(x + 5) = (x + 2)^2
x^2 + 5x = x^2 + 4x + 4
x = 4
By Pythagoras’ theorem,
BD square= AB square + BC square
BD square= 3.15 square + 1.77 square
BD Square=13.0554
BD= square root 13.0554
BD=3.61 (to 3sf)