Question

AABC is right angled at B if mLA = 30°
and BC = 8cm find the remaining angles and
sides.​

Answer 1

Answer:

,

Step-by-step explanation:

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Answer 2

Given :

• ΔABC is right angled at B if m∠A = 30° and BC = 8cm

To find :

• the remaining angles and sides.

Solution :

Here ,

m∠A + m∠C= 90° as m∠B = 90°

30° + m∠C = 90°

m∠C = 90° - 30°

m∠C = 60

In right-angled ΔABC,

tan30° = . BC/AB

= 1/√3 = 8/AB

= AB = 8√3 cm

sin 30° = BC/AC

= ½ = 8/AC

= AC = 16 cm

∴ remaining side is 16 cm