1. 
A rectangle has a diagonal of 10 and length of 6. Find the area of the rectangle. 

2. 
Find the length of the diagonal of a rectangle with sides 15 cm and 15 cm. 

3. 
If s = 9 and t = 11, then r = ______.


4. 
In _{}ABC, AB = x, AC = 2x, and BC = 4. Find the value of x.


5. 
If PQ = 10, RS = 8, and PS = 5, find QR.


6. 
If a = 17 and b = 13, find c.


7. 
Find the length of the altitude to the base of an isosceles triangle with sides 9, 9, and 12. 

8. 
Find the length of a diagonal of a square with perimeter of 16. 

9. 
The lengths of the bases of an isosceles trapezoid are 40 and 18, and the length of the altitude is 10. Find the length of a leg of the trapezoid. 

10. 
The bases of isosceles trapezoid ABCD are 24 cm and 36 cm and its base angles (angles A and B) are 45 degrees. What is the height of the trapezoid? 
