1. Find the length of the missing side. Give an exact answer.
Warm Up 1.3
Find the length of the missing side. Give an exact answer.
Find the area of the triangle. Round your answer to the nearest tenth.
15 ft ft

2. Unit 1: Right Triangles and Trigonometry
Target 1.3
Determine if a triangle is right, acute or obtuse by its side lengths (7.2)

3. The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be __________________ the third side.
Look what happens if the sum of two sides are NOT longer than the third…
In other words, the ____________ of the two short sides have to be ___________________ than the third side.
Is it possible to construct a triangle with the given side lengths? Explain.
4, 6, 9
10, 15, 10
3, 4, 7

4. In construction, builders use the Pythagorean Theorem to determine if a frame is “square” or not.
You measure the height and width of a door frame to be 72 inches and 21 inches, respectively. The diagonal is 75 inches. Is the door frame “square”? (In other words, do you have a right triangle?)

5. Tell whether the triangle is a right triangle. Justify your answer.

6. If a triangle is not right, it is either acute or obtuse
If a triangle is not right, it is either acute or obtuse. By testing the Pythagorean Theorem, we can use the side lengths to classify a triangle.

7. First, determine if the three sides can form a triangle
First, determine if the three sides can form a triangle. Then, if they can, determine if that triangle that is right, acute, or obtuse. Justify your answer.

8. Graph the points A, B, and C. Connect the points to form a triangle
Graph the points A, B, and C. Connect the points to form a triangle. Decide whether the triangle is acute, right, or obtuse.
Pg. 444: 5-19(odds), 27, 35, 36