I need help proving these two triangles are similar! ?

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1 Answer
Feb 11, 2018

As proved below

Explanation:

enter image source here

Given #HI = LH = 3, LJ = JN = 2.5#

This shows, HJ and IN are parallel and IL and JK are parallel.

Consider triangles LJH & LNI.

#LhatJH = LhatNI# corresponding angles as HJ parallel IN

Similarly, #LhatHJ = LhatIN# Again corresponding angles as IL & JK are parallel.

#JhatLH = NhatLI# common angle.

Hence the two triangles LJH & LNI are SIMILAR.

Corresponding sides are in same proportion.

#(LJ) / (LN) = (LH) / (LI) = (JH) / (NI)#