Lesson 1: Angles and Steepness

Learning Target: I can explain why knowing one acute angle in a right triangle determines the ratio of the side lengths.

Math Response

$$\Delta ABC$$ is a right triangle. Therefore, you can use the Pythagorean Theorem.

$$a^2+b^2=c^2$$

Find the value of $$x.$$

Use "x = "

Type answer here

Correct Answer: x=\sqrt{34}

Deg^°

Rad

Math Response

Find the value of $$y.$$

Use "y = "

Type answer here

Correct Answer: y=\sqrt{20}

Deg^°

Rad

Open Ended

Find the value of z.

If there is not enough information, what else do you need to know?

Dropdown

If we had a triangle with the same angles as Δ GHJ but different side lengths, would that be helpful for finding z? ​

Select answer

, then we could use the ​

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to find z.

Multiple Choice

Which equation would you use to find x?

• $$\frac{1}{28}=\frac{x}{12}$$

• $$\frac{1}{28}=\frac{x}{4.8}$$

• $$\frac{12}{28}=\frac{1}{x}$$

• $$\frac{x}{12}=\frac{28}{1}$$

Drag and Drop

Does every angle in a right triangle give you a fixed ratio of vertical length to horizontal length?

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, because when you’re dealing with right triangles, all the triangles with the same angle measure for one of the other angles are ​

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, so they have the ​

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ratios.

Drag these tiles and drop them in the correct blank above

Yes

No

similar

same

different