Question

in a right angled triangle abc b=90 degree c=30 degree. If ac=10cm find the length of ab and bc

Answer 1

Answer:

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

This is ur answer mate

Hope this helps

Answer 2

Given  :  In a triangle ABC, B=90° and C=30°

AC = 10 cm

To Find :  Length of AB and BC

Solution:

triangle ABC, ∠B=90°

=>  AB and BC are perpendicular sides

and AC is hypotenuse

Sin ∠C  =  AB / AC

=> Sin 30° = AB / AC

=> 1 / 2 = AB / 10

=> AB = 5 cm

AB² + BC² = AC²

=> 5² + BC²  = 10²

=> BC = 5√3

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