If t is the midpoint of su find the values of x, st and su.

 The required values are

x = 12 units, ST = 60 units and SU = 120 units.

Step-by-step explanation:  Given that T is the midpoint of SU, where

ST = 5x  and  TU = 3x + 24.

We are to find the values of x, ST and SU.

Since T is the midpoint of SU, so we get

So, the value of x is 12.

Therefore,

and

Thus, the required values are

x = 12 units, ST = 60 units and SU = 120 units.

If T is the Midpoint of line SU the the values of x, ST and SU are;

x= 12

ST= 60

SU= 120

Where; are co-ordinates of the endpoints of the line.

Therefore;

In this case;

If T is the mid-point of SU then;

ST is equal to TU

But; ST = and TU =

Hence;

Putting like terms together

Dividing both sides by 2

Therefore;

But;

Therefore;

ST = TU and

SU = 120 units

Keywords: Mid-point,formula for mid point

Midpoint;

Example on midpoint:

Level; High school

Subject: Mathematics

Topic: Vectors

Sub-topic: Midpoint