Question

in the figure angle B=90° angle A=30° AC=10cm then AB=
A] 10√3cm
b.5cm
c.5√3
d.10cm
​

Answer 1

Answer:

c- 5√3

Step-by-step explanation:

the other angle of the triangle is

180-(90+30) =60

sin 60= AB/ 10

√3/2=AB/10

AB= 5√3

Answer 2

Answer:

Sum of all the angles of triangle is 180°

So angle C = 180 - (angle B + angle A)

angle C = 180 - (90+30)

angle C = 60°

Now as per Pythagoras theorem

hypotenuse ^2 = base² + Length²

Out of base and length the bigger side is opposite to angle C as per traingles properties.So side AB will be bigger than side BC.

Hypotenuse is the side opposite to the right angle.

10² = AB² + BC²

so 10² = (5√3)² + 5²

100 = (5*1.732)² + 25

Approximately

100 = 74.99 + 25

Now we have two values 5 and 5√3 but since AB is the bigger side out of the two so

AB = 5√3

Step-by-step explanation:

Hope this helps

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