Question

AB= 6 cm, AC = 12 cm Calculate the length of CD. Give your answer to 3 significant figures. ​

Answer 1

CB is 10.392...

(root 12^2 - 6^2 = 6root3)

CB is now the opposite

CD = hypotenuse

Hypotenuse + opposite = SOH - sin

Sin55 = o/h

sin55 = 6root3/h

x h, then ÷ sin55

H = 6root3/sin55

H = 12.686...

To 3 s.f CD is 12.7cm

(root = square root)

Hope this helps!