Question

TS is a midsegment of GHI, solve the value of x

Answer 1

x = 8

Explanation:

The midsegment is half of GI , that is

2x - 7 =
`(1)/(2)` (x + 10) ← multiply both sides by 2 to clear the fraction

4x - 14 = x + 10 ( subtract x from both sides )

3x - 14 = 10 ( add 14 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8

Answer 2

2x-7=(x+10)/2

2(2x-7)=x+10

4x-14=x+10

4x-x=10+14

3x=24

x=24/3

x=8

Explanation: