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Period 3:
1. Q: If the sides of a triangle have measures of 12, 20, and 24, what is the length of the bisector of the angle included by the sides measuring 12 and 20?
2. Q:
Find the value of y.
3. Q: A parallelogram has sides with measures of 4 and 7 and the measure of its shorter diagonal is 6. Find the measure of the parallelogram’s longer diagonal.
4. Q: Two sides of a triangle have measures of 5 and 10. If the bisector of the angle included by these sides has a measure of 7, what is the measure of the third side of the triangle?
5. Q:
Find x
Period 4
1. Q:
Find Y, round to nearest hundredths place
A: 5.06
2. Q: If the sides of a triangle have measures of 4, 5, and 7, what is the length of the bisector of the angle included by the sides measuring 4 and 5? Answer in real numbers.
A:
√724/9
3. Q:
Two sides of a triangle have measures of 4.5 and 9 If the bisector included by these has a measure of 4, what is the measure of the third side of the triangle?
A: 10.5
4. Q: In the right triangle below, how many sides are congruent?
A: None 5. Q: A parallelogram has sides with measures 14 and 18, and the measure of its shorter diagonal is 16. Find the measure of the parallelogram’s longer diagonal.
A: 6√21
Period 5
1. Q: A parallelogram has sides 4 and 8. The shorter diagonal is 6. Find the longer diagonal.
A: 2 times square root of 31.
2. Q: If lengths of the sides of a triangle have measures 4, 9 and 12, what is the length of the bisector of the angle included by the sides measuring 4 and 12?
A: 30/13
3.
Q: Two sides of a triangle have measures 5 and 12. If the bisector of the angle included by these sides has a measure of 7, what is the measure of the third side of the triangle?
A: 17(sqare root(165)/30)
4.
Q: In triangle ABC, AP is the angle bisector. Find BC if AB= 8, AP= 7, and AC= 14
A: 16.5
5.
Q: Find the measure of a side of a triangle if the other two sides and the bisector of the angle they include have measures 3,7, and 4, respectively.
A: 10(sqare root(105)/21)