Question

I need help proving these two triangles are similar! ?

Answer 1

As proved below

Explanation:

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)`