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

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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Work together to spread your kingdom's color across the land! Answer questions correctly to win colored land tiles (flags) and grow your empire. Whoever claims more territory wins.

LOSING TEAM will complete 13.03 Homework

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