### LESSON 12.2 PROBLEM SOLVING WITH RIGHT TRIANGLES WORKSHEET

Add this document to saved. Have each group member draw a different acute triangle ABC. You can add this document to your saved list Sign in Available only to authorized users. This is because two different angles—one acute and one obtuse— may share the same value of sine. What is the distance between Towers A and C? Use your knowledge of right triangle trigonometry to write an expression involving sin B and h, and an expression with sin C and h.

Upload document Create flashcards. In order to find the distance along the northern branch, you need the measure of the third angle in the triangle. You can add this document to your saved list Sign in Available only to authorized users. Constructing and Analyzing Triangles. Measure the angles and the sides of your triangle. Geometry Chapter 7 Similarity Notes.

# Lesson problem solving with right triangles worksheet answers

Did everyone get the same proportion in Step 4? In order to find the distance along the northern branch, you need the measure of the third angle in the triangle. Label the height h. Label the length of the side opposite A as a, the length of the side opposite B as b, and the teiangles of the side opposite C as c.

Where along the northern branch should they dig for the treasure? Your e-mail Input it if you want to receive answer. What proportion do you get when you eliminate j? If A is acute, it measures approximately Combine the two expressions by eliminating h.

Use the transitive property of equality to combine them into an extended proportion: Upload document Create flashcards. Add to collection s Add to saved. What is the distance between Towers A and C? Have each group member draw a different acute triangle ABC.

Eolving this document to saved.

## Lesson 12.2 problem solving with right triangles worksheet answers

Draw the altitude from A to BC. Add this document to collection s.

The distance between Towers A and B is m. You can add this document to your study collection s Sign in Available only to authorized users.

Have each group member draw a different obtuse triangle. Use your knowledge of right triangle trigonometry to write an expression involving sin B and h, and an expression with sin C and h. Repeat Step 2 using expressions involving j, sin C, and sin A. How far apart are the planes at this time? Sine Law in Acute Triangles. Constructing and Analyzing Triangles.

A lake between Towers A and C makes it difficult to measure the distance between them directly. Geometry Chapter 7 Similarity Notes.

## Lesson 12.2

Substitute the measurements and evaluate to verify that the proportion from Step 4 holds true for your obtuse triangles as well. This is because two different angles—one acute and one obtuse— may share the same value of sine.

You can add this document wogksheet your saved list Sign in Available only to authorized users. The other possibility for A is the obtuse supplement of Suggest us how to improve StudyLib For complaints, use another form. Measure the angles and the sides of your triangle. Look at this diagram to see how this works. Does your work from Steps 1—5 hold true for obtuse triangles as well? For complaints, use another form.

Therefore, you can find the sine of obtuse angles as well as the sines of acute angles and right angles.