Question

Can someone please help me with this questions 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 2:2:3. If HK=49, find IJ.

Answer 1

IJ = 14

Explanation:

If the point HIJK all lies on the same line, then HI + IJ + JK = HK

2 + 2 + 3 = HK

HK = 7

Since the total length is HK

IJ = ratio of IJ/Total ratio * HK

IJ = 2/7 * 49

IJ = 2 * 7

IJ = 14

Hence the length of IJ is 14