Question

question
the lengths of the three sides of a triangle (in inches) are consecutive integers. if
the perimeter is 27 inches, find the value of the shortest of the three side lengths.
answer
attempt 1 out of 2
inches
submit answer

Explanation:

Step1: Let the sides

Let the shortest side be \(x\) inches. Then the other two sides are \((x + 1)\) inches and \((x+2)\) inches.

Step2: Use perimeter formula

The perimeter \(P=x+(x + 1)+(x+2)\). Given \(P = 27\), so \(x+(x + 1)+(x+2)=27\).
Simplify the left - hand side: \(3x+3 = 27\).
Subtract 3 from both sides: \(3x=27 - 3=24\).
Divide both sides by 3: \(x=\frac{24}{3}=8\).

Answer:

8