MIDPOINT THEOREM OF TRIANGLE WORKSHEET

Problem 1 :

D is the Midpoint of AB and E is the Midpoint of BC

If DE = 4x - 9 and AC = 3x + 22, find DE

Solution

Problem 2 :

D is the Midpoint of AB and E is the Midpoint of BC

If DE = 7x + 1 and AC = 6x + 18, find AC

Solution

Problem 3 :

D is the Midpoint of AB and E is the Midpoint of BC

If DE = 2x - 16 and AC = 3x - 3, find DE

Solution

Problem 4 :

D is the Midpoint of AB and E is the Midpoint of BC

If DE = 8x - 10 and AC = 10x + 40, find AC

Solution

Problem 5 :

If the perimeter of the Large Triangle is 56, find y.

Solution

Problem 6 :

If the perimeter of the Large Triangle is 30, find y.

Solution

Problem 7 :

If y = 8, find the perimeter of the Smaller Triangle.

Solution

Problem 8 :

Find x and y.

Solution

1) x = 8 and DE = 23

2)  x = 2 and AC = 30

3)  x = 29 and DE = 42

4)  x = 10 and AC = 140

5)  x = 7/2 and y = 24

6)  x = 3 and y = 6.5

7) Perimeter of the smaller triangle is 20

8)  x = 7 and y = 9