Right Triangle Trig Lesson

Right Triangle Trig Lesson

In this lesson you will learn about Right Triangle Trig.

Let's Try an Example

• Using the triangle to the right, find all 3 trig ratios for angle Z.

• Once you think you have the correct ratios go to the next slide.

How Did You Do?

•  $\sin\left(Z\right)=\frac{20}{29}$  

•  $\cos\left(Z\right)=\frac{21}{29}$  

•  $\tan\left(Z\right)=\frac{20}{21}$  

Multiple Choice

Find the ratio for the given triangle.

•  $\frac{12}{5}$  

•  $\frac{12}{13}$  

•  $\frac{5}{12}$  

•  $\frac{13}{12}$  

Multiple Choice

Find the ratio for the given triangle. 

•  $\frac{12}{5}$  

•  $\frac{5}{12}$  

•  $\frac{13}{12}$  

•  $\frac{12}{13}$  

Using Trig Ratios to Solve for Missing Side Lengths

Trig ratios can be used to find missing side lengths.

Let's Try One..

• Use the diagram to solve for the missing side. Solve to the nearest tenth.

• Once you think you solved the problem correctly, go to the next page.

Check Your Answer

•  $x\approx4.5$  

Let's Try One..

• Use the diagram to solve for the missing side. Solve to the nearest tenth.

• Once you think you solved the problem correctly, go to the next page.

Check Your Answer

•  $x\approx24.4$  

Multiple Choice

Solve for x.

• 31.2

• 5.6

• 14.6

• 6.2

Multiple Choice

Solve for x.

• 17.2

• 27.1

• 8.3

• 30.9

Using Trig Ratios to Solve for Missing Angles

Let's Try One..

• Use the diagram to the right to solve for the missing angle measure. Round your answer to the nearest tenth.

• Once you think you solved the problem correctly, go to the next page.

Check Your Answer

•  $?\approx23.9\degree$  

Let's Try One...

• Use the diagram to the right to solve for the missing angle measure. Round your answer to the nearest tenth.

• Once you think you solved the problem correctly, go to the next page.

Check Your Answer

•  $?\approx18.4\degree$  

Multiple Choice

 $\cos\left(\theta\right)=?$  

•  $\frac{3}{5}$  

•  $\frac{4}{5}$  

•  $\frac{3}{4}$  

•  $\frac{4}{3}$  

Multiple Choice

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4
• 55.2
• 20.15
• 19.4