Basic Triangle Inequality

Unlock triangle secrets! Practice problems on the triangle inequality theorem.

Which of the following lists the sides of ΔABC from least to greatest length? AC, BC, AB AC, AB, BC AB, AC, BC BC, AC, AB Which of the following could not be the lengths of the sides of a triangle? 6, 3, 9 3, 4, 5 4, 6, 8 5, 2, 4 Two sides of a triangle measure 14 inches and 8 inches. Which cannot be the length of the remaining side? 6 in 8 in 14 in 21 in Part of a marching band formed a triangle made with trumpet players on one side, clarinet players on one side, and flute players on the third side. --The angle formed by the trumpet and flute players measured 45o. --The angle formed by the flue and clarinet players measured 68o.Which orders the sides of this triangle from least to greatest using the instrument names? Clarinet, trumpet, flute Clarinet, flute, trumpet Trumpet, flute, clarinet Flute, trumpet, clarinet Pine Street, Rector Street, and Taylor Street intersect to form a triangular shaped park as shown.What is the correct order of the streets from longest to shortest? Pine,Taylor,Rector Rector, Taylor, Pine Rector, Pine, Taylor Taylor, Pine, Rector The diagram shows the locations of Noah and Ben after swimming in different directions from a dock. Let d by the distance from Noah to Ben, in yards.Which represents all the possible values, in yards, of d? 0<d<105 0<d<147 21<d<147 63<d<84 List the sides from shortest to longest. CA, BA, BC BA, CA, BC BC, CA, BA BA, BC, CA List the angles from largest to smallest. angle P, angle F, angle J angle F, angle P, angle J angle J, angle F, angle P angle J, angle P, angle F The lengths of two sides of a triangle are 24 inches and 43 inches. What is the range of possible lengths, in inches, for the third side, x, of this triangle? 19 67 Given: ΔRSTRS = 14 inST = 10 inTR = 16 inList the interior angles of ΔRST in order from smallest to largest. R T S Is it possible to form a triangle with the given lengths?12, 5, 15 YES NO I don't know Is it possible to form a triangle with the given lengths?5, 12, 20 YES NO I don't know