### LESSON 12.2 PROBLEM SOLVING WITH RIGHT TRIANGLES WORKSHEET

A lake between Towers A and C makes it difficult to measure the distance between them directly. Therefore, you can find the sine of obtuse angles as well as the sines of acute angles and right angles. Look at this diagram to see how this works. You can add this document to your study collection s Sign in Available only to authorized users. Label the length of the side opposite A as a, the length of the side opposite B as b, and the length of the side opposite C as c. Use the transitive property of equality to combine them into an extended proportion:

Geometry Chapter 7 Similarity Notes. Substitute the measurements and evaluate to verify that the proportion from Step 4 holds true for your obtuse triangles as well. Combine the two expressions by eliminating h. Suggest us how to improve StudyLib For complaints, use another form. Label the height h.

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. Did everyone get the same proportion in Step 4? The other possibility for A is the obtuse supplement of You can add this document to your study collection s Sign in Available only to authorized users. What is the distance between Towers A and C? Does your work from Steps 1—5 hold true for obtuse triangles as well? Measure the angles and the sides of your triangle.

In order to find the distance along the northern branch, you need the measure of the third angle in the triangle. What proportion do you get when you eliminate j?

# Lesson problem solving with right triangles worksheet answers

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A lake between Towers A and C makes it difficult to measure the distance between them directly. Triangle Sum Theorem Add this document to saved. Use the transitive property of workshset to combine them into an extended proportion: Geometry Chapter 7 Similarity Notes. Substitute the measurements and evaluate to verify that the proportion from Step 4 holds true for your obtuse triangles as well.

Have each prob,em member draw a different obtuse triangle. Draw the altitude from A to BC. Sine Law in Acute Triangles. If A is acute, it measures approximately Use your knowledge of right triangle trigonometry to write an expression involving sin B and h, and an expression with sin C and h.

## Lesson 12.2

Look at this diagram to see how this works. Add to collection s Add to saved. Your e-mail Input it if you want to receive answer. Repeat Step 2 using expressions involving j, sin C, and sin A. Add this document to collection s. Where along the northern branch should they dig for the treasure?

How far apart are the planes at this time? Label the length of the side opposite A as a, lessln length of the side opposite B as b, and the length of the side opposite C as c. This is because two different angles—one acute and one obtuse— may share the same value of sine. For complaints, use another form.

However, in this case you may find more than one possible solution. The distance between Towers A and B is m.