QuestionFind the length of $\overline{F G}$ if $G$ is the midpoint of $\overline{F H}$ and you know the length of $\overline{F H}$ .

Studdy Solution

STEP 1

Assumptions1. $G$ is the midpoint of $\overline{ H}$ . The length of $\overline{ H}$ is given

STEP 2

By definition, a midpoint divides a line segment into two equal parts. Therefore, the length of $\overline{ G}$ is half the length of $\overline{ H}$ .
$FG = \frac{1}{2} \cdot FH$

STEP 3

Plug in the given length of $\overline{ H}$ to find the length of $\overline{ G}$ .
$FG = \frac{1}{2} \cdot FH_{given}$

STEP 4

Calculate the length of $\overline{ G}$ .
$FG = \frac{1}{2} \cdot FH_{given} = FG_{calculated}$ The length of $\overline{ G}$ is $FG_{calculated}$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms