Question

In ΔABC, ∠ A = 30° , ∠ B = 90°. If AC = 8 cm find the length of BC *

Answer 1

Step-by-step explanation:

For any triangle, The sum of all three angles is 180 degree. In this example, A = 90 degree and B = 30 degree. So, C= 180 - 90 -30 = 60 degree.

AB is the opposite side for the angle C and AC is the opposite side for the angle B.

Sin 30 = AC / BC as BC is the opposite for the angle 90 degree and it is hypotenuse.

AC => BC * sin 30 => 8 * 1/2 = 4 CM

Sin 60 = AB / BC as BC is the opposite for the angle 90 degree and it is hypotenuse.

AB => BC * sin 60 => 8 * 1.732 / 2 => 6.928 CM

Answer 2

Qᴜᴇꜱᴛɪᴏɴ :

❥ In Δ ABC, ∠ A = 30° , ∠ B = 90°. If AC = 8 cm find the length of BC

ᴀɴꜱᴡᴇʀ :

➩ Angle A = 90° and angle B 30°

⤍ Angle C = 90° - 30° = 60°

⤍ BC is the hyp = 8 cm long

⤍AC = 8 / 2 =4cm ( sin 30° = AC / hp

⤍ 8 sin 30° = AC

⤍ AC = 8 × 1 / 2 = 4

⤍ AB = √( BC^2 - AC^2 )

⤍ √( 8^2 - 4^2.)

⤍√( 64-16 ) = 6.93cm

⤍ AC = 4 cm

⤍ AB = 6.93 cm

Hope it helps uhh !! ♥