Parts of a Right Triangle
Similarity Statements & Geometric Mean
Proportions in Right Triangles
Proportions in Triangles
100
What is the hypotenuse in the triangle provided?
XY
100
Write a similarity statement relating the three triangles in the diagram.
/_\DFE~/_\HFD~/_\HDE
100
Use the figure to set up a proportion based on the altitude of the right triangle.
y/s=t/y
100
Use the figure to complete the proportion.
IF
200
What are the segments of the hypotenuse in the triangle provided?
XR & RY
200
Write a similarity statement relating the three triangles in the diagram.
/_\ZYX~/_\AYZ~/_\AZX
200
Use the figure to set up a proportion based on leg r.
r/s=x/r
200
Use the figure to complete the proportion.
CD
300
What are the legs in the triangle provided?
XZ & ZY
300
Find the geometric mean between 9 and 4.
6
300
Use the figure below to find the value of x.
x=6sqrt5
300
Solve for x.
x = 3.2
400
What is the altitude in the triangle provided?
ZR
400
Find the geometric mean between 9 and 18.
9sqrt(2)
400
Use the figure below to find the value of z.
z=6
400
Solve for x.
x = 14
500
What segment of the hypotenuse is adjacent to leg ZY?
RY
500
Find the geometric mean between 5 and 25.
5sqrt(5)
500
Use the figure below to find the value of x.
2sqrt(30)
500
Solve for x.
x = 6