Right Triangle Proportionality Altitude

In a right triangle, the___________ to the hypotenuse divides the triangle into similar triangles, each triangle similar to the given triangle.

• altitude

• leg

• geometric mean

• hypotenuse

Refer to the figure. Find the length of the segment a. Note: segment a is an altitude and the length of the segments of hypotenuse are 16 and 4.

• 6

• 7

• 8

In a right triangle, the altitude to the hypotenuse is the ________  _________of the  segments  in the hypotenuse.  

• altitude

• leg opposite

• geometric mean

• opposite side

Refer to the figure. Find the length of the segment b. Note: segment b is a leg and the length of the segments of hypotenuse are 16 and 4. And 4 is adjacent to b.

• (1)

• (2)

• (3)

• (4)

In the accompanying diagram, ΔABC is a right triangle and CD is the altitude to the hypotenuse AB. If AD = 4 and DB = 16, find the length of CD.

• 4√5

• 8

• 4√15

• 2√5

HK is an altitude in ΔGHI. Find the value of x.

• 90

• 21

• 24

• 43.5

What is the measure of ∠HKG?

• 60°

• 180°

• 90°

• 360°

Refer to the figure. Find the length of the segment c. Note: segment c is a leg and the length of the segments of hypotenuse are 16 and 4. And 16 is adjacent to c.

An __________ in a triangle is a line segment

from a vertex to the opposite side that is

perpendicular to that side.

• Altitude

• Vector

• Congruent side

• Bisector