CHAPTER 10 / ESSENTIAL GEOMETRY SKILLS 373
Concept Review 3: The Pythagorean Theorem
- Draw an example of each of the four “special” right triangles.
Use the modified Pythagorean theorem and the triangle inequality to find whether a triangle with the given side
lengths is acute, obtuse, right, or impossible.
2. 5, 6, 9 3. 2, 12, 12 4. 6, 8, 11
5. 2, 2, 12 6. 3, 4, 7 7. 1.5, 2, 2.5
- The circle above has its center at Pand an area of 16π. If AP=AB,what is the area of ∆ABC? ____
- The area of the triangle above is 30. What is the value of h? __
- What is the height of an equilateral triangle with sides of length cm? __
- Point Pis at (0, 0), point Mis at (4, 0), and point Nis at (9, 12). __
What is the perimeter of ∆MNP?
63
5
h