Mathematics
Grade9
Easy
Question
In a triangle ABC - D, E, F are mid points.
If AB = 3x +15, DE = 5x + 4, what is the length of AB?
- 24
- 16
- 18
- 21
Hint:
The midpoint theorem refers to the midpoint of the line segment. It defines the coordinate points of the midpoint of the line segment and can be found by taking the average of the coordinates of the given endpoints.
The correct answer is: 18
Step 1 of 1:
We have triangle ABC and DEF
Now, using midpoint theorem we can that
DE = 
AB
AB = 2 DE
3x + 15 = 2(5x + 4)
3x + 15 = 10x + 8
7x = 7
x=1
AB = 3(1) + 15 = 18
Linear equation in one variable can be solved using fundamental operations
