 Geometric Mean in Right Triangles Terms of Use    Contact Person: Donna Roberts  1.
Given the diagram at the right, as labeled, find CD.

Choose:
 2 4   2.
Given the diagram at the right, as labeled, find x.

Choose:
 8 8.5 9 9.5 3.
Given the diagram at the right, as labeled, find QR.

Choose:     4.
Given the diagram at the right, as labeled,
find x.

Choose:
 2.5 2 7.5  5.
Given the diagram at the right, as labeled,
find x.

Choose:     6.
Given the diagram at the right, as labeled, find x.

Choose:
 9 8 6 4 7.
For the diagram shown at the right, which of the following proportions will be always true regarding the segments of the triangle? Choose:    8.
In right triangle ΔABC, ∠C is a right angle. , the altitude to the hypotenuse, has a length of 8 units. If the segments of the hypotenuse are in the ratio of 1 : 4, find the number of units in the two segments of the hypotenuse.

Choose:
 2 and 8 3 and 12 4 and 16 8 and 8

9.
Given right triangle ΔPQR as shown at the right.
a) Find a.

Choose:     b)
Find b.
Choose:    c)
Find x.
Choose:
 1.8 2.4 3.2 3.8

10.
The hypotenuse of a right triangle has a length of 50 units, and the longer leg of the triangle has a length of 40 units. What is the length of the projection of the shorter leg on the hypotenuse?

Choose:
 12 18 32 40

11.
Given the diagram shown at the right, as labeled, find SQ.

Choose:
 8 12 18  12.
Given a circle labeled as shown with diameter .
AC = 15 cm. and AE = EF = FC.

a)
Find CD.

Choose:     Choose:    c)
Find BF.
Choose:    13.
Challenge Problem: Given right triangle ΔACB with altitude and angle bisector .
Find ED, to nearest hundredth.

Choose:
 1.32 0.63 0.34 0.26  