To help support a flag pole, a 50-foot-long tether is tied to the pole at a point 40 feet above the ground. The tether is pulled taut and tied to an.

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Presentation transcript:

To help support a flag pole, a 50-foot-long tether is tied to the pole at a point 40 feet above the ground. The tether is pulled taut and tied to an anchor in the ground. How far way from the base of the pole is the anchor? Problem of the Day

Practice! Find the geometric mean between 5 and 10. Find x, y, and z. Determine whether 8, 9, and 12 can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. Practice!

Section 8-3a Special Right Triangles (45° - 45° - 90°)

Then Now Objectives You used properties of isosceles triangles. Use the properties of 45° - 45° - 90° triangles.

Common Core State Standards Content Standards G.SRT.6 – Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. Mathematical Practices 1) Make sense of problems and persevere in solving them. 7) Look for and make use of structure. Common Core State Standards

2 3 4 5 2 3 4 5

Find x. Example 1

Find x. Example 1

The perimeter of a square is 24 feet. Find the length of its diagonal The perimeter of a square is 24 feet. Find the length of its diagonal. The perimeter of a square is 96 inches. Find the length of its diagonal. Example 1

Find x. Example 2

Find x. Example 2

Find x. Example 2

p.562 #8 – 17, 38, 57 Homework