Please answer the question below. please provide an explanation as well. thanks!
1 answer:
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Answer:
Shortest side = 7 inches.
Medium side = 9 inches.
Longest side = 10 inches.
Step-by-step explanation:
Let the shortest side be x.
Translating the word problem into an algebraic equation, we have;
Shortest side = x
Medium side = x + 2
Longest side = x + 3
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
Substituting into the equation, we have;
26 = x + x + 2 + x + 3
26 = 3x + 5
3x = 26 - 5
3x = 21
x = 21/3
x = 7 inches.
<em>Therefore, the length of the three sides are;</em>
<em>Shortest side = x = 7 inches. </em>
<em>Medium side = x + 2 = 7 + 2 = 9 inches. </em>
<em>Longest side = x + 3 = 7 + 3 = 10 inches. </em>