TTriangle H L I is shown. Line segment J K is drawn near point L to create triangle J L K. If △HLI ~ △JLK by the SSS similarity theorem, then StartFraction H L Over J L EndFraction = StartFraction I L Over K L EndFraction is also equal to which ratio? StartFraction H I Over J K EndFraction StartFraction H J Over J L EndFraction StartFraction I K Over K L EndFraction StartFraction J K Over H I EndFraction

Question:

HLI is shown. Line segment JK is drawn near point L to create JLK. If HLI ~ JLK by the SSS similarity theorem, then is also equal to which ratio?

Step-by-step explanation:

Given

HLI ~ JLK

Required

Which other ratio equals

HLI ~ JLK  implies that:

HL, IL and HI corresponds to JL, KL and JK respectively.

So, the possible ratios are:

HL : IL : HI = JL : KL : JK

Convert to fractions

So, from the list of options

is equivalent to

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

inverse operation of addition