Question

In ∆ ABC, angle A=60°, angle B=90°, angle C=30°,AC=8cm, find AB.​

Answer 1

Answer:

8cm

Step-by-step explanation:

....,....

.......

sin90=8/AB. (sin90=1)

1 =8/AB

AB= 8

Answer 2

let us do this using the applications of trigonometry

$\mathsf{We\: know \:that,\: sinθ = \frac{Perpendicular}{Hypotenuse}}$

Here, Sin30° = $\mathsf{\frac{AB}{AC}}$

$\mathsf{\implies\: \frac{1}{2} = \frac{AB}{8}}$

$\mathsf{\implies\: AB = \frac{8}{2}}$

$\fbox{\mathsf{\implies \: AB = 4 cm}}$