PRACTICE PROBLEMS ON ANGLE BISECTOR THEOREM WORKSHEET

Find the missing length indicated.

Problem 1 :

bisectheq1

Solution

Problem 2 :

bisectheq2

Solution

Problem 3 :

bisectheq3

Solution

Problem 4 :

bisectheq4

Solution

Problem 5 :

bisectheq5

Solution

Problem 6 :

bisectheq6

Solution

Problem 7 :

bisectheq7

Solution

Problem 8 :

bisectheq8

Solution

Problem 9 :

Find the value of x.

bisectheq9

Solution

Problem 10 :

Find the value of x.

bisectheq10

Solution

Answer Key

1)  x = 2

2)  x = 20

3)  x = 21

4)  x = 3

5)  4

6)  8

7)  15

8)  24

9)  10

10)  9.75

Problem 1 :

In the ΔABC shown below, find the length of AD.

anglebisectortheorem3.png

Solution

Problem 2 :

In the ΔABC shown below, find the length of CD.

anglebisectortheorem4.png

Solution

Problem 3 :

Solve for x.

anglebisectortheorem7.png

Solution

Problem 4 :

Solve for x.

anglebisectortheorem8.png

Solution

Answer Key

1)  AD = 3

2) CD = 9

3)  x = 8

4) x = 9

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