Answers

  • Brainly User
2015-07-23T14:21:35+05:30

Let's say that the triangle is ABC with AB = 12, BC = 5, CA = 13.

Now you may see that triangle is right-angled at B, as AB² + BC² = CA².

And AB ⟂ BC with CA as hypotenuse and perpendicular's foot on CA be D.

Hence, ar(ABC) = ½  AB · BC = ½ CA · BD.

⇒ BD = ( AB · BC ) ÷ CA = ( 12 × 5 ) ÷ 13 = 60/13 cm. 

0