Question

S is the midpoint of RT, RS = 2x + 4,
and RT = 8x. Find ST.

Answer 1

8 units

Explanation:

Since S is the midpoint of RT,

RS+ ST= RT

RS= ST

2RS= RT

Substituting the given information,

2(2x +4)= 8x

Expand:

2(2x) +2(4)= 8x

4x +8= 8x

Bringing x terms to one side of the equation:

8x -4x= 8

Simplify:

4x= 8

Divide both sides by 4:

x= 8 ÷4

x= 2

ST

= RS

= 2x +4

= 2(2) +4

= 4 +4

= 8 units