Did everyone get the same proportion in Step 4? Label the height h. Look at this diagram to see how this works. If A is acute, it measures approximately Sine Law in Acute Triangles. Triangle Sum Theorem

If A is acute, it measures approximately However, in this case you may find more than one possible solution. The other possibility for A is the obtuse supplement of Sine Law in Acute Triangles. A lake between Towers A and C makes it difficult to measure the distance between them directly.

Use your knowledge of right triangle trigonometry to write an expression involving sin B and h, and an expression with sin C and h. Constructing and Analyzing Triangles. Sine Law in Acute Triangles.

## Lesson 12.2 problem solving with right triangles worksheet answers

Did everyone get the same proportion in Step 4? A lake between Towers A and C makes it difficult to measure the distance between them directly. Have each group member draw a different acute triangle ABC.

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

Have each group member draw a different obtuse triangle. Add to collection s Add to saved. The other possibility for A is the obtuse supplement of Where along the northern branch should they dig for the treasure?

If A is acute, it measures approximately Your e-mail Input it if you want to receive answer. 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: Triangle Sum Theorem Draw the altitude from A to BC. Repeat Step 2 using expressions involving j, sin C, and sin A. Add riight document to collection s. Label the height h.

How far apart are the planes at this time? Measure the angles and the sides of your triangle. Substitute the measurements and evaluate rpoblem verify that the proportion from Step 4 holds true for your obtuse triangles as well. What proportion do you get when you eliminate j? Geometry Chapter 7 Similarity Notes. 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.

Add this document to saved. Therefore, you can find the sine of obtuse angles as well as the sines of acute angles and right angles. What is the distance between Towers A and C?

# Lesson problem solving with right triangles worksheet answers

However, in this case you may find more than one possible solution. Upload document Create flashcards.

This is because two different angles—one acute and one obtuse— may share the same value of sine. In order to find the distance along the northern branch, you need the measure of the third angle in the triangle.