Right Triangle Similarity, Geometric Mean

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 1

Solve for x. Use Property 2

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

Find the value of x.

• 15√5

• 5√5

• 5√3

• 3√5

Determine the scale factor

• 1/5

• Not Similar

• 4/5

• 1/4

Find the value of y. 

• 4

• 2√6

• 6√2

• 12

Are the triangles similar?

• Yes

• No

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft