Samantha C.
asked • 04/03/24ratio and proportion
the perimeter of a triangle is 132ft with the sides in an extended ratio of 2:6:4 determine the shortest and longest angle of the triangle
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2 Answers By Expert Tutors
Mark M. answered • 04/03/24
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Mathematics Teacher - NCLB Highly Qualified
2x + 6x + 4x = 132
Solve for x.
Multiply by appropriate factor.
Denise G. answered • 04/03/24
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Algebra, College Algebra, Prealgebra, Precalculus, GED, ASVAB Tutor
For perimeter, you add the 3 sides together. Since we know they are proportional by the ratio given, we can set up the following equation.
2x+6x+4x = 132 Combine like terms
12x=132 Divide both sides by 12
x=11
Since the ask for the longest side, that would be 6x
6(11) = 66 ft.
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Vijay E.
Any side of a triangle should be strictly less than the sum of the other two. Here, side '6' does not meet that criterion, and hence a triangle is not definable for the given extended ratio.04/23/24