Answer:
CD ≈ 26.0 cm
Step-by-step explanation:
using the sine ratio in right triangle ABD
sin35° =
=
=
( multiply both sides by BD )
BD × sin35° = 12 ( divide both sides by sin35° )
BD =
≈ 20.92 cm
using the sine rule in Δ BCD
=
, that is
=
( cross- multiply )
CD × sin52° = 20.92 × sin102° ( divide both sides by sin52° )
CD =
≈ 26.0 cm ( to 3 significant figures )
Let
One Number = x
Second Number =x-10
Third Number=x/2
Sum of three numbers is 50
x+x-10+x/2=50
2x-10+x/2=50
Multiply by 2 both sides
2*(2x-10+x/2)=50*2
4x-20+x=100
5x=100+20
5x=120
x=120/5
x=24
One number = x=24
Second number =x-10=24-10=14
Third number= x/2=24/2= 12