If △hli ~ △jlk by the sss similarity theorem, then is also equal to which ratio?

Step-by-step explanation:

Given :

 by the SSS similarity theorem.

Solution :

According to SSS postulate,

KL = IL ----- (1)

HL = JL ----- (2)

HI = JK ------ (3)

From equation (1), (2) and (3) we get,

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Triangle HLI has sides identical in measure to the three sides of triangle JLK, then the two triangles are congruent by SSS postulate. Therefore,

Given :

by the SSS similarity.

According to SSS (Side Side Side) postulate:

If all three sides of a triangle are congruent to corresponding three sides of other triangle then the two triangles are congruent.

If triangle HLI has sides identical in measure to the three sides of triangle JLK, then the two triangles are congruent by SSS postulate.

Therefore, from triangle HLI and triangle JLK we get,

KL = IL  ----- (1)

HL = JL ----- (2)

HI = JK ------ (3)

From equation (1) , (2) and (3) we get,

For more information, refer the link given below

link

step-by-step explanation: