Right Triangle Altitude Leg Theorem

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.

When the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the segments of the hypotenuse.

• True

• False

When the altitude is drawn to the hypotenuse of a right triangle, each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse that is adjacent to the leg

• True

• False

If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.

• AA Similarity Theorem

• AAA Similarity Theorem

• SAS Similarity Theorem

• Right Triangle Similarity Theorem

Solve for x. Use Property 2

Solve for x. Use property 1

What type of triangles do you use the trig ratios with?

• any type

• right triangle

• obtuse triangle

• acute triangle

What is the hypotnuse?

• 3

• 4

• 5

Find x.

• 44.55

• 22.69

• 41.66

• 38.49

What is the length of "opposite side" to angle B?

• 6

• 8

• 10

• not possible to determine