Right Triangle Trig formative

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

•

CCSS

6.NS.B.3, HSG.SRT.C.6, HSG.SRT.C.8

Standards-aligned

Gregory Troutman

Used 1+ times

FREE Resource

21 Slides • 17 Questions

Right Triangle Trigonometry

An Introduction

Sides of a Right Triangle

The HYPOTENUSE is directly across from the right angle.
The OPPOSITE side is directly across from the referenced angle.
The ADJACENT side is the last side. It is the side that touches the angle, but isn't the hypotenuse.

The Angle

The referenced angle could be indicated by the Greek symbol "theta", by an arc marking it, or by a measure placed in the figure. It could also be marked with an "x" or other variable if you're expected to use trig to find its measure.

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?

Trigonometric Ratios

Remember, each of these ratios relies on you identifying the sides of the triangle based on your reference angle.

Right Triangle Trig Lesson

In this lesson you will learn about Right Triangle Trig.

Multiple Choice

Which part of the right triangle is side BC?

hypotenuse

opposite

adjacent

Multiple Choice

Which part of the right triangle is side AC?

hypotenuse

opposite

adjacent

Multiple Choice

Find the ratio for the given triangle.

$\frac{12}{5}$

$\frac{12}{13}$

$\frac{5}{12}$

$\frac{13}{12}$

Multiple Choice

$\cos\left(\theta\right)=?$

$\frac{3}{5}$

$\frac{4}{5}$

$\frac{3}{4}$

$\frac{4}{3}$

Multiple Choice

Which part of the right triangle is side AB?

hypotenuse

opposite

adjacent

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.

Multiple Choice

What is the correct trigonometric ratio for the sine of A?

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

Multiple Choice

What is the correct trigonometric ratio for the cosine of B?

Multiple Choice

What is the correct trigonometric ratio for the tangent of A?

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

Multiple Choice

What is the correct trigonometric ratio for the sine of B?

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

Multiple Choice

Find the length of the missing side to the nearest tenth.

10.1

10.9

25.0

29.1

Multiple Choice

Find the length of the missing side to the nearest tenth.

4.8

6.4

10.0

13.3

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

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

Multiple Choice

Find the measure of the angle to the nearest degree.

18^o

19^o

20^o

71^o

Multiple Choice

Find the measure of the angle to the nearest degree.

14^o

27^o

44^o

76^o

Multiple Choice

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

9.4

55.2

20.15

19.4

Right Triangle Trigonometry

An Introduction

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