hi...i need help on this question...please help...i will rate ASAP!! 18) Triangl

Question

hi...i need help on this question...please help...i will rate ASAP!! 18) Triangle ABC contains an angle of 60 degrees and a sidewhose length is 8. Which of the following additional pieces ofinformation would allow you to uniquely determine the perimeter ofthe triangle? Triangle ABC is a. scalene b. isosceles c. a righttriangle hi...i need help on this question...please help...i will rate ASAP!! 18) Triangle ABC contains an angle of 60 degrees and a sidewhose length is 8. Which of the following additional pieces ofinformation would allow you to uniquely determine the perimeter ofthe triangle? Triangle ABC is a. scalene b. isosceles c. a righttriangle 18) Triangle ABC contains an angle of 60 degrees and a sidewhose length is 8. Which of the following additional pieces ofinformation would allow you to uniquely determine the perimeter ofthe triangle? Triangle ABC is a. scalene b. isosceles c. a righttriangle 18) Triangle ABC contains an angle of 60 degrees and a sidewhose length is 8. Which of the following additional pieces ofinformation would allow you to uniquely determine the perimeter ofthe triangle? Triangle ABC is a. scalene b. isosceles c. a righttriangle

Explanation / Answer

Knowing just scalene is not sufficient information even tofind the other two remaining sides of the triangle, so it cannot besolved. The right triangle can be solved but you get differentperimeters depending on whether you use the 8 as the short leg, thelong leg, or the hypotenuse of the triangle.   There isno unique solution. However, not matter how you draw the isosceles triangle and nomatter how you locate the 8 and the 60 deg, you always end up witha 60-60-60 equilateral triangle, whose perimeter is uniquely24.

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