tailieunhanh - Sat - MC Grawhill part 39

Tham khảo tài liệu 'sat - mc grawhill part 39', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 370 McGRAW-HILL S SAT 6. E Label the two angles that are vertical to those marked b and c. Notice that the angle marked a is an external angle. By the External Angle theorem a b c. be the base and attach the side of length 6. Notice that the triangle has the greatest possible height when the two sides form a right angle. Therefore the greatest possible area of such a triangle is 1 2 4 6 12 and the minimum possible area is 0. The greatest prime number less than 12 is 11. 7. D D Write in the missing angle measures by using the fact that the sum of angles in a triangle is 180 . Then use the fact that the biggest side of a triangle is always across from the biggest angle to order the sides of each triangle. 8. A Consider the side of length 4 to CHAPTER 10 ESSENTIAL GEOMETRY SKILLS 371 Lesson 3 The Pythagorean Theorem The Pythagorean Theorem 3-4-5 triangles More accurately these can be called 3x-4x-5x triangles because the multiples of 3-4-5 also make right triangles. Notice that the sides satisfy the Pythagorean theorem. The Pythagorean theorem says that in any right triangle the sum of the squares of the two shorter sides is equal to the square of the longest side. If you know two sides of any right triangle the Pythagorean theorem can always be used to find the third side. 5-12-13 triangles Likewise these can be called 5x-12x-13x triangles because the multiples of 5-12-13 also make right triangles. Notice that the sides satisfy the Pythagorean theorem. Example In the figure below what is x Pythagorean theorem Simplify Subtract 81 Take the square root 92 x2 152 81 x2 225 x2 144 x 12 You can also use the modified Pythagorean theorem to find whether a triangle is acute or obtuse. If side1 2 side2 2 longest side 2 the triangle is obtuse. If the stick gets bigger the alligator s mouth gets wider If side1 2 side2 2 longest side 2 the triangle is acute. If the stick gets smaller the alligator s mouth gets smaller 45 -45 -90 triangles These triangles can be thought of as .