The lengths of the three sides of a triangle (in feet) are consecutive even integers. If
the perimeter is 96 feet, find the value of the shortest of the three side lengths.

Question

15-09-2022
Mathematics

Answered

The lengths of the three sides of a triangle (in feet) are consecutive even integers. If
the perimeter is 96 feet, find the value of the shortest of the three side lengths.

Answer :

Other Questions

Each year a certain amount of money is deposited in an account which pays an annual interest rate of r so that at the end of each year the balance in the accoun

CONSTRUCTION Devin is ouring concrete for a sidewalk. The sidewalk will be 2 feet wide, 18 feet long, and 0.5 foot deep. Devin needs cubic feet of concrete.

Part A: describe the type of function Part B: what are the standard and factored form of the function Part C: what are the zeros of the function Part D: use

Look at the right-angled triangle ABC. B 19/61 Marks 32° X y The square fits exactly inside the triangle. Work out the sizes of angles x, y and z. N A C

The measure of the supplement of an angle is 30 more than twice the measure of the angle. Find the measure of the angle.

Find the derivative of the function by the limit process. f(x)=(3)/(x-2)

Identify the range of the function y=-3x+6 when the domain is {-1,2,4} A. {-6,0,9} B. {-9} C. {3,-12,-18} D. {-3,12} E. {-6,9}

range of a data set is 18. The The interquartile first quartile is 52. Which value could be the median? A.25 B.34 C.61 D.97

The point K lies on the segment JL. Find the coordinates of K so that the ratio of JK to KL is 4 to 3. J(-4,6) X (?, ?) L (17,-22)

driftecook driftecook · Answer 1 · 2022-09-15T21:44:34-04:00

Answer is 30 is the shortest side

Step by step

We know x is one side, even consecutive integers means add 2 for the next even number and add 4 for the next even number.

Our equation looks like this

(X) + (x + 2) + (x + 4) = 96

Solve for x

3x + 6 = 96

Subtract 6 from both sides to isolate x

3x + 6 - 6 = 96 - 6

3x = 90

Divide both sides by 3 to solve for x

3/3 x = 90/3

x = 30

So one side is x = 30
One side is x + 2 = 32
One side is x + 4 = 34

Add them together and the total is 96

Problem solved!!

The lengths of the three sides of a triangle (in feet) are consecutive even integers. If the perimeter is 96 feet, find the value of the shortest of the three side lengths.

Answer :

Other Questions

The lengths of the three sides of a triangle (in feet) are consecutive even integers. If
the perimeter is 96 feet, find the value of the shortest of the three side lengths.