8 Triangle Facts: What do you remember about triangles?

1. The angles in a triangle sum to _____________.

2. The shortest side of a triangle is opposite the ___________________.

3. The side opposite the right angle is called the ___________________.

4. The segment that measures the height of a triangle is called the ___________.

5. Angles that are supplementary sum to __________.

6. Angles that are complementary sum to _________.

7. The Pythagorean Theorem Formula: _____________________.

8. The formula for the area of a triangle is ______________________ and the formula for the area of a rectangle_______________________.

Use Pythagorean Theorem to find the missing side lengths. Simplify your answers. No decimal answers. Find the area of each.

9. a = 5, b = 12, and c=_______

10. b = 4, c = 10, and a = ________

a=

11. Find the area of an isosceles triangle that has a base of 12 and two sides measuring 10.

Determine whether or not the following sets of numbers could represent a right triangle. If not, classify the triangle is acute or obtuse.

Use the Pythagorean Theorem to test.

If a2 + b2 = c2, then it is a right triangle.

If a2 + b2 < c2, then it is an obtuse triangle.

If a2 + b2 > c2, then it is an acute triangle.

12. 21, 12, 24

13.13, 31, 17

14. 10, 26, 24

Word problem.

1.Draw a picture.

2.Label it.

3.Use your tools! Solve!

15. A 50-meter radio tower must be braced with a cable that is tied 30 meters from its base. What is the length of the cable to the nearest meter?

17-30 Involve Simplying Radical Expressions and missing sides and hypotenuse of a right triangle.