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The points H, I, J and K all lie on the same line segment, in that order, such that the
ratio of HI: IJ: JK is equal to 2:1: 2. If HK = 25, find JK.

Respuesta :

prachidhruw07

Step-by-step explanation:

Given,

ratio of HI, IJ , Jk = 2 : 1 : 2

let their value be

HI = 2x

IJ = x

JK = 2x

HK = 25

according to question,

HI + IJ + JK = Hk

now, after inserting the values we got,

→ 2x + x + 2x = 25

→ 5x = 25

→ x = 25/5 = 5

→ x = 5

therefore value of,

HI = 2x → 2×5 = 10

IJ = x → 5

JK = 2x → 2×5 = 10

Hence, value of JK is 10.

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