Question

In ABC , 0   A 30 , 0 B = 90 , 0   C 60 , If BC = 5 cm then AC = ------------. A)10cm B) 10 3 cm C) 5 3 cm D) 5 2 cm​

Answer 1

Answer:

△ ABC is a right-angled triangle.

By Pythagoras theorem,

AC

2

=BC

2

+AB

2

⇒13

2

=5

2

+AB

2

⇒AB

2

=−(5)

2

+13

2

⇒AB

2

=−25+169

⇒AB

2

=144

⇒AB=

144

⇒AB=12 cm.