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The lengths of the sides of triangle RST are consecutive odd integers. The perimeter of the triangle is 63 meters. What is the length of the longest side?

Answer 1

Ethan Adkins

#23#

Let the lengths of the three sides be #x-2, x and x+2#, respectively.

Given the perimeter #=63#, #=> (x-2)+x+(x+2)=63# #=> 3x=63# #=> x=21#

Hence, longest side #=x+2=21+2=23#

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Answer 2

Julia Adams

Let's denote the lengths of the consecutive odd integers as ( x ), ( x+2 ), and ( x+4 ).

According to the given information, the perimeter of the triangle is 63 meters, so we have the equation:

[ x + (x+2) + (x+4) = 63 ]

Solve for ( x ):

[ 3x + 6 = 63 ]

[ 3x = 63 - 6 ]

[ 3x = 57 ]

[ x = \frac{57}{3} ]

[ x = 19 ]

So, the lengths of the sides are 19 meters, 21 meters, and 23 meters. Therefore, the longest side is 23 meters.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.