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Page 1: L.E.Q. What special properties are associated with special right triangles?

7-3 Special Right Triangles

L.E.Q. What special properties are associated with special right triangles?

Page 2: L.E.Q. What special properties are associated with special right triangles?

Theorems 7-8: 45-45-90 Triangle Theorem.

Page 3: L.E.Q. What special properties are associated with special right triangles?

Find the value of each variable.

Example 1: Finding the length of the hypotenuse.

Page 4: L.E.Q. What special properties are associated with special right triangles?
Page 5: L.E.Q. What special properties are associated with special right triangles?

Find the value of x.

Example 2: Finding the length of a leg.

Page 6: L.E.Q. What special properties are associated with special right triangles?

A high school softball diamond is a square. The distance from base to base is 60 ft. To the nearest foot, how far does a catcher throw the ball from home plate to second base?

Example 3: Real – World Connection.

Page 7: L.E.Q. What special properties are associated with special right triangles?

Theorem 7-9: 30-60-90 Triangle Theorem.

Page 8: L.E.Q. What special properties are associated with special right triangles?

Find the value of each variable.

Example 4: Finding the lengths of legs.

Page 9: L.E.Q. What special properties are associated with special right triangles?

Find the value of each variable.

Example 5: Using the length of a leg.

Page 10: L.E.Q. What special properties are associated with special right triangles?

The moose warning sign below is an equilateral triangle. Each side is 1 m long. Find the area of the sign.

Example 6: Real-World Connection.

Page 11: L.E.Q. What special properties are associated with special right triangles?

Pg 369-370 #s 2 – 22 even, 24 – 28 even.

Homework: