Question

In a right angle triangle ABC right angle at B , AB= 5 cm and <ACB = 30. Determine the length of the sides BC,AC

Answer 1

Hey there!

Answer:

BC = 5 √3 cm

AC = 10 cm

Step-by-step explanation:

Given,

ΔABC is right angled-triangle at B.

AB =  5 cm

∠ACB = 30°

Now,

Tan C = Perpendicular / Base

Tan 30° = AB / BC

1 / √3 = 5 / BC

5 √3 = BC

or, BC = 5 √3 cm

And,

Sin C = Perpendicular / Hypotenuse

Sin 30° = AB / AC

1/2 = 5/ AC

10 = AC

or, AC = 10 cm

Hope It Helps You!

Answer 2

Answer:

Given: AB = 5cm

          <ACB = 30°

⇒ AB/BC = Opposite/Adjacent = tanθ

= 5/BC = tan 30° ⇒ 1/√3

= 5√3cm

⇒ sin 30° = 5/AC

= 1/2 = 5/AC ⇒ 10

∴ AC = 10cm