1) In ∆ABC, angleB=90° ,angleA=60°, If AC=24 cm then I(AB)= ? * O A) 12 cm B) 12√3 cm O C) 16 cm O D) 16√3 cm
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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.
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