The measure (in inches) of the sides of triangle RIO are equivalent to three consecutive odd integers. The perimeter is 201 inches. Which of the following statements are correct? Select all that apply. The triangle is obtuse. The triangle is scalene. The smallest side measures 61 inches. The largest side measures 69 inches. If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller.

Question

Mathematics

Elliana Schwartz

11 April, 21:32

The measure (in inches) of the sides of triangle RIO are equivalent to three consecutive odd integers. The perimeter is 201 inches. Which of the following statements are correct? Select all that apply. The triangle is obtuse. The triangle is scalene. The smallest side measures 61 inches. The largest side measures 69 inches. If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller.

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Cierra Figueroa · Answer 1

The triangle is scalene and the largest side measures 69 inches.

Let x be the first, smallest, side. Then x+2 would represent the second smallest side and x+4 would represent the largest side. Since the perimeter is 201,

x + (x+2) + (x+4) = 201

Combining like terms, we have

3x+6 = 201

Subtract 6 from both sides:

3x = 195

Divide both sides by 3:

x = 65

This means the next side is 65+2 = 67 and the largest side is 65+4 = 69.

The three sides are all different which makes the triangle scalene.

The largest side is 69 inches.