Question

If triangle BAC-triangle ROP (ABC) /(APOR) = 25/16: and AB. 15 cm. thant find the value of O​

Answer 1

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By Angle bisector theorem: which states that, the ratio of any 2 sides of a triangle is equal to the ratio of the lengths of the segments formed on its third side, by the angle bisector of the angle formed by those 2 sides.

So, here, AB/AC = BD/DC

=> 6/5 = 3 / DC

=> DC = 15/6 = 5/2 = 2.5 cm

Answer 2

Answer:

$\large\green{\textsf{✩ Verified Answer ✓ }}$

By Angle bisector theorem: which states that, the ratio of any 2 sides of a triangle is equal to the ratio of the lengths of the segments formed on its third side, by the angle bisector of the angle formed by those 2 sides.

So, here, AB/AC = BD/DC

=> 6/5 = 3 / DC

=> DC = 15/6 = 5/2 = 2.5 cm