University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2020
Views:

159

Pages:

1
Author:

Killian Mata

Name: Young Key Date The triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Using this theorem, answer the following questions. Take the two smallest #'s, their sum the 3rd side 1 1. If two sides of a triangle are 1 and 3, the third side may be 3 (α) 5 (d) 4 1+374 474 473 1+375 475 aligned (0)2\\ 1+2>3\\ 3 * 3 aligned 113>3 2. If the lengths of two sides of a triangle are 5 and 7, the length of the third side may not be 12 (b) 7 (d) 5 5+712 12/12 51717 5+577 10277 1277 3. Which set of numbers may represent the lengths of the sides of a triangle? (a) (2,5,9) (b) (6,6,7) (c) (6,4,2) (d) (7,8,1) 2 + 5 > 9 61677 1227/ 14728 878 4. If the lengths of two sides of a triangle are 4 and 10, which could be the length of the third side? (0)6 (b)8 (c) 14 (d) 16 24-610 10/10 4+8210 12010 4-110314 1414 14716 5. If the lengths of two sides of a triangle measure 7 and 12, the length of the third side could measure (16 19716 (b) 19 (0)3 (d) 5 742x9 19719 3+7217 10/12 5+7712 12712 6. Two sides of an isosceles triangle have lengths 2 and 12, respectively. Find the length of the third side. 2 + 27n 2 + 12 > 12 14712 12 7. If the lengths of two sides of a triangle are 10 and 14, the length of the third side may be (24 (d) 4 (a) 22 (5) 2 10-14 22 24772 12314 2.10714 24724 104428 4+10 14714 (9) * 3 3 + 577 877 2 + 4 > 6