What is X?

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1 Answer
Feb 9, 2018

#X = BD = 3#

Explanation:

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Given #AhatCD = BhatCD#

That means AD is the angular bisector of #AhatCB#

Applying angle bisector therome for triangles ACD & BCD,

#(AC) / (AD) = (BC) / (BD)#

Given : AC = 3, AD = 2.25, BC = 4. To find x = BD.

#x = BD = ((BC) * (AD)) / (AC) = (4 * 2.25) / 3 = 3#