Question

Midpoints
B is the midpoint of AC , find x.

Answer 1

B is the midpoint which means both sides are equal to each other:

5x = 3x + 4

Subtract 3x from both sides

2x = 4

Divide both sides by 2

X = 2

Answer 2

Given:-

`\red{➤}\:`
`\sf AB = 5x`

`\red{➤}\:`
`\sf BC = 3x+4`

`\\`

To Find:-

`\orange{☛}\:`
`\sf Value \:of \:x`

`\\`

Solution:-

Since B is midpoint of AC, therefore -

`\\\quad\quad\quad\quad\sf AB = BC`

`\begin{gathered}\\\quad\longrightarrow\quad \sf 5x = 3x+4\quad\quad ( Putting \:Value) \\\end{gathered}`

`\begin{gathered}\\\quad\longrightarrow\quad\sf 5x-3x =4 \\\end{gathered}`

`\begin{gathered}\\\quad\longrightarrow\quad\sf 2x =4 \\\end{gathered}`

`\begin{gathered}\\\quad\longrightarrow\quad\sf x =(4)/(2)\\\end{gathered}`

`\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {x=2 }}\\\end{gathered}`