Question

GK = 24, HJ = 10, and GH = HI = IJ. Find each length.

Answer 1

Greetings from Brasil....

Let us call X the equal distances GH = HI = IJ

GH = X

HI = X

IJ = X

Note that HJ = HI + IJ, so

HJ = X + X

10 = 2X

X = 5

Looking at the figure we can conclude that:

GJ + JK = GK

GJ = GH + HI + IJ

GJ = 15

GJ + JK = GK

15 + JK = 24

JK = 9

GH = X = 5

HI = X = 5

IJ = X = 5

JK = 9

Answer 2

Each length of the line segments GH = HI = IK and JK will be 5 and 9.

What is a line segment?

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

GK = 24, HJ = 10, and GH = HI = IJ.

Then the length HI will be

HJ = HI + IJ

10 = HI + HI

2HI = 10

HI = 5

Then the length of the line segments GH, HI, and IJ will be

GH = HI = IJ = 5

The length of the JK will be

GK = GJ + JK

24 = 3GH + JK

24 = 3 * 5 + JK

JK = 24 - 15

JK = 9

Then each length of the line segments GH = HI = IK and JK will be 5 and 9.

More about the line segment link is given below.

https://brainly.com/question/25727583

#SPJ5