Similar Right Triangles Altitude

What is the value of x?

Round to the nearest tenth

Mathematical Equivalence

ON

Identify the correct similar triangles

Which triangles are similar?

Should select 3.

• ∆TUS

• ∆RUT

• ∆SUT

• ∆RTS

Write a proportion to find the value of x.

Mathematical Equivalence

ON

Write an proportion to find the value of x.

Mathematical Equivalence

ON

What is the distance across the lake? (Hint: use the Geometric Mean 'Altitude' Theorem)

To find the clearance under an overpass, you need to find the height of a vertical concrete support beam. You use a cardboard square to line up the top and bottom of the beam. Your friend measures the vertical distance from you to the beam. What is the approximate height of the beam?

• 9.5 feet

• 47.6 feet

• 3.6 feet

• 14.5 feet

• 8.6 feet

Find the height of the tree. (a)  

• 15 ft

• 8 ft

• 12 ft

• 13 ft

Solve for x. Round to the nearest tenth if necessary.

Mathematical Equivalence

ON

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA

• SAS

• SSS

• Not Similar