MATH SOLVE

4 months ago

Q:
# If △HLI ~ △JLK by the SSS similarity theorem, then is also equal to which ratio?

Accepted Solution

A:

[tex]\rm \dfrac{HL}{JL}=\dfrac{IL}{KL}=\dfrac{HI}{JK}[/tex]Step-by-step explanation:Given : [tex]\rm \bigtriangleup HLI \sim \bigtriangleup JLK[/tex] by the SSS similarity theorem.[tex]\rm \dfrac {HL}{JL} = \dfrac{IL}{KL}[/tex]Solution :According to SSS postulate,KL = IL ----- (1)HL = JL ----- (2)HI = JK ------ (3)From equation (1), (2) and (3) we get,[tex]\rm \dfrac{HL}{JL}=\dfrac{IL}{KL}=\dfrac{HI}{JK}[/tex]For more information, refer the link given below