Holt McDougal Geometry 5-8 Applying Special Right Triangles Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form.

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Presentation transcript:

Holt McDougal Geometry 5-8 Applying Special Right Triangles Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form Simplify each expression. 3.4.

Holt McDougal Geometry 5-8 Applying Special Right Triangles I can justify and apply properties of 45°-45°-90° and 30°- 60°- 90° triangles. Standard U5S9

Holt McDougal Geometry 5-8 Applying Special Right Triangles

Holt McDougal Geometry 5-8 Applying Special Right Triangles Example 1A: Finding Side Lengths in a 45 ° - 45º- 90º Triangle Find the value of x. Give your answer in simplest radical form.

Holt McDougal Geometry 5-8 Applying Special Right Triangles Example 1B: Finding Side Lengths in a 45º- 45º- 90º Triangle Find the value of x. Give your answer in simplest radical form.

Holt McDougal Geometry 5-8 Applying Special Right Triangles Check It Out! Example 1a Find the value of x. Give your answer in simplest radical form.

Holt McDougal Geometry 5-8 Applying Special Right Triangles Check It Out! Example 1b Find the value of x. Give your answer in simplest radical form.

Holt McDougal Geometry 5-8 Applying Special Right Triangles A 30°-60°-90° triangle is another special right triangle. You can use an equilateral triangle to find a relationship between its side lengths.

Holt McDougal Geometry 5-8 Applying Special Right Triangles Example 3A: Finding Side Lengths in a 30º-60º-90º Triangle Find the values of x and y. Give your answers in simplest radical form.

Holt McDougal Geometry 5-8 Applying Special Right Triangles Example 3B: Finding Side Lengths in a 30º-60º-90º Triangle Find the values of x and y. Give your answers in simplest radical form.

Holt McDougal Geometry 5-8 Applying Special Right Triangles Check It Out! Example 3a Find the values of x and y. Give your answers in simplest radical form.

Holt McDougal Geometry 5-8 Applying Special Right Triangles Check It Out! Example 3b Find the values of x and y. Give your answers in simplest radical form.

Holt McDougal Geometry 5-8 Applying Special Right Triangles Check It Out! Example 3c Find the values of x and y. Give your answers in simplest radical form.

Holt McDougal Geometry 5-8 Applying Special Right Triangles Check It Out! Example 3d Find the values of x and y. Give your answers in simplest radical form.

Holt McDougal Geometry 5-8 Applying Special Right Triangles Homework: p. 372 #1-3, 5-7 textbook