Question

In a given right angled triangle, ZC = 30° Bb
and AC = 10 cm then find the value of a, AB
and BC. [Ans: a = 60°, AB = 5cm, BC = 5V3 cm.

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Answer 1

Answer:

Step-by-step explanation:

C = angle , c = side opposite to it (side AB).

C = 30°

Assuming B to be the right angle .... B=90° .

b (side AC) is the hypotenuse .

We know that the sum of the angles in a triangle is 180° .

So , Angle A = 60° .

On applying trigonometric ratios ......

Sin(C) = AB/AC = 1/2 ( sin(30) ) = AB/10

On solving for AB , we get AB = 5cm .

For the other side (BC) , we can apply Pythagoras' theorem .

$AB^{2} + BC^{2} = AC^{2}$

solving for BC we get .... BC= 5$\sqrt{3}$ .

Hope it helps ya !