### LESSON 12.2 PROBLEM SOLVING WITH RIGHT TRIANGLES WORKSHEET

Use the transitive property of equality to combine them into an extended proportion: Draw the altitude from A to BC. Look at this diagram to see how this works. Did everyone get the same proportion in Step 4? Measure the angles and the sides of your triangle. The other possibility for A is the obtuse supplement of

Use your knowledge of right triangle trigonometry to write an expression involving sin B and h, and an expression with sin C and h. Have each group member draw a different obtuse triangle. Upload document Create flashcards. The other possibility for A is the obtuse supplement of Therefore, you can find the sine of obtuse angles as well as the sines of acute angles and right angles. In order to find the distance along the northern branch, you need the measure of the third angle in the triangle. What is the distance between Towers A and C?

Does your work from Steps 1—5 hold true for obtuse triangles as well? Use the transitive property of equality to combine them into an extended proportion: Have each group member draw a different obtuse triangle. Repeat Step 2 using expressions involving j, sin C, and sin A. Upload document Create flashcards.

Triangle Sum Theorem The other possibility for A is the obtuse supplement of Substitute the measurements and evaluate to verify that the proportion from Step 4 holds true for your obtuse triangles as well. However, in this case you may find more than one possible solution.

## Lesson 12.2

Label the height h. Sine Law in Acute Triangles. Look at this diagram to see how this works.

You can add this document to your saved list Sign in Available only to authorized users. Draw the altitude from A to BC. 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. Add this document to collection s. Use your knowledge of right triangle trigonometry to write an expression involving sin B and h, and an expression with sin C and h.

The distance between Towers A and B is m. A lake between Towers A and C makes it difficult to measure the distance between them directly. If A is acute, it measures approximately Therefore, you can find the sine of obtuse angles as well as the sines of acute angles and right angles.

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. Geometry Chapter 7 Similarity Notes. You can add this document to your study collection s Sign in Available only to authorized users. Add this document to saved. Have each group member draw a different acute triangle ABC. Measure the angles and the sides of your triangle.

For complaints, use another form. Where along the northern branch should they dig for the treasure? Combine the two expressions by eliminating h.

# Lesson problem solving with right triangles worksheet answers

What proportion do you get when you eliminate j? What is the distance between Towers A and C? Constructing and Analyzing Triangles. This is because two different angles—one acute and one obtuse— may share the same value of sine. Add to collection s Add to saved.