13.03 Special Right Triangles

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13.03 Special Right Triangles

Learning Goals: I will be able to use Special Right Triangles to evaluate angle and side measurements or a right triangle.

45-45-90 Special Right Triangle

​For the triangle, find the unknown side lengths and trigonometric ratios for the angles.

45-45-90 Special Right Triangle

​Reference Formula

45-45-90 Special Right Triangle

Find the length of side BT and side AT.

Multiple Choice

1. Find the length of Side BC for triangle ABC.

• 36

• 45

• 6

• 12

Multiple Choice

1. Find the length of Side AC for triangle ABC.

• 36

• 456

• 6 $$\sqrt[]{2}$$

• $$\sqrt[]{2}$$

Multiple Choice

1. Find the angle measurement of angle A for triangle ABC.

• $$30\degree$$

• $$45\degree$$

• $$60\degree$$

• $$90\degree$$

Survey Time: Please tell me how you feel about 45-45-90.

Poll

How do you feel about solving 45-45-90 Special Right Triangle? Please be honest.

• I understand 45-45-90 Special Right Triangle.

• I somewhat understand 45-45-90 Special Right Triangle.

• I need more practice so I can fully understand 45-45-90 Special Right Triangle.

• I don't understand 45-45-90 Special Right Triangle.

30-60-90 Special Right Triangle

For the triangle, find the unknown side lengths and trigonometric ratios for the angles.

30-60-90 Special Right Triangle

​Reference Formula

Fill in the Blanks

Find the length of side RT.

Multiple Choice

Find the length of side RS.

• $$4\sqrt[]{3}$$

• $$2\sqrt[]{3}$$

• $$\sqrt[]{3}$$

• 4

Find the indicated values from the figure

Find the indicated values from the figure

Multiple Choice

$$Find\ the\ value\ of\ Sin\ 60\degree.$$

• 4

• $$\frac{\sqrt[]{3}}{2}$$

• $$\frac{\sqrt[]{2}}{3}$$

• $$2\sqrt[]{3}$$

Multiple Choice

$$Find\ the\ value\ of\ Cos\ 60\degree.$$

• 1

• $$\frac{\sqrt[]{3}}{2}$$

• $$\frac{\sqrt[]{2}}{3}$$

• $$\frac{1}{2}$$

Find the indicated values from the figure

Survey Time: Please tell me how you feel about 30-60-90.

Poll

How do you feel about solving 30-60-90 Special Right Triangle? Please be honest.

• I understand 30-60-90 Special Right Triangle.

• I somewhat understand 30-60-90 Special Right Triangle.

• I need more practice so I can fully understand 30-60-90 Special Right Triangle.

• I don't understand 30-60-90 Special Right Triangle.

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LOSING TEAM will complete 13.03 Homework

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