1. 
Use the diagram below to answer the following questions. (a) If m_{}K = 29, then m_{}KLM = ______ and m_{}J = ______. (b) _{}LMK _{} _{}______ _{} _{}______ (c) JL is the geometric mean between ______ and ______. (d) KL is the geometric mean between ______ and ______. (e) LM is the geometric mean between ______ and ______.



3. 
In _{}ABC, AC = x  8, BC = 5x  144, and m_{}C = 90. Find the value of x that makes _{}ABC a right isosceles triangle. 

4. 
In right _{}ABC, altitude _{} is drawn to the hypotenuse. If AD = 8, BD = 18, and CD = x + 9, find the length of the altitude. 

5. 
Find the length of the diagonal of a rectangle with sides 12 cm and 12 cm. 

6. 
The diagonal of a square box top is 14 feet. Find the length of a side of the box top. 

7. 
A rectangle has a diagonal of 12 and length of 4. Find the area of the rectangle. 

8. 
Find the length of the altitude to the base of an isosceles triangle with sides 15, 15, and 24. 

9. 
Find the length of a diagonal of a square with perimeter of 8. 

10. 
In _{}ABC, m_{}A = 30 and m_{}C = 90. If BC is 13 less than AB, find the length of the hypotenuse. 
