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Geometry. The perimeter of an equilateral triangle is at most 57 feet. What could the length of a side be? (Hint: All three sides of an equilateral triangle are equal.)
$19 \mathrm{ft}$ or less
Precalculus
Algebra
Chapter 2
Equations, Inequalities, and Problem Solving
Section 7
Solving Inequalities
Algebra Topics That are Reviewed at the Start of the Semester
Equations and Inequalities
Missouri State University
Campbell University
Baylor University
Lectures
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Find the area of each figu…
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In the following exercises…
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The perimeter of a triangl…
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01:33
The altitude of an equilat…
02:15
Triangle Dimensions The pe…
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An equilateral triangle ha…
the perimeter of unequal lateral triangle is at most 57 feet. What could the length of a side B if a triangle is equal lateral? We know that all three sides are equal, so if we draw a picture, we can see that the equilateral triangle has three equal sides unknown length X. We also know that the perimeter of the triangle is the sum of all sides, so the perimeter is equal to the sum of all sides. This problem is asking us to determine what each side could be if the perimeter is at most 57 feet at most, meaning it cannot be bigger than 57 feet. So we're going to write in inequality where the perimeter, the sum of all three sides, is less than or equal to 57 feet. So three X is less than or equal 2 57 If we under the product of three and X By dividing both sides of the inequality by three, we find that each side of the triangle could be less than or equal to 19. So we would say 19 feet more less
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