Answered

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If longest out of a triangle is 3 inches longer than the shorter side. The medium size is 2 inches longer than the shorter side. If the perimeter is 26 inches, what are the length of the three sides

Sagot :

Lanuel

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;

[tex] P = A + B + C [/tex]

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.

Therefore, the length of the three sides are;

Shortest side = x = 7 inches.

Medium side = x + 2 = 7 + 2 = 9 inches.

Longest side = x + 3 = 7 + 3 = 10 inches.

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