Find the ratio of the longest side to the perimeter of the right-triangular-shaped billboard.
A scalene triangular billboard that says "Ski Whitetop" is designed to look like a snow-peaked mountain with a road leading up to the peak. The peak of the billboard is a right angle. The shorter side that is part of the right angle is labeled 3 feet. The longer side that is part of the right angle is labeled 4 feet. The third side of the billboard is labeled 5 feet. 3 feet4 feet5 feet
sure looks like 5:12 to me
To find the ratio of the longest side to the perimeter of the right-triangular-shaped billboard, we need to determine the perimeter of the billboard first.
The perimeter of any triangle is calculated by adding the lengths of all three sides.
In this case, the lengths of the three sides are:
Side 1 = 3 feet
Side 2 = 4 feet
Side 3 = 5 feet
The perimeter (P) of the billboard is given by:
P = Side 1 + Side 2 + Side 3
Substituting the lengths of the sides, we get:
P = 3 + 4 + 5
P = 12 feet
Now, to find the ratio of the longest side to the perimeter, we divide the length of the longest side by the perimeter:
Ratio = Longest side / Perimeter
Substituting the values, we get:
Ratio = 5 / 12
So, the ratio of the longest side to the perimeter of the right-triangular-shaped billboard is 5/12.
To find the ratio of the longest side to the perimeter of the right-angled triangular-shaped billboard, we need to determine the perimeter first.
The perimeter is the total sum of all the sides of the triangle. In this case, the perimeter of the billboard is the sum of all three sides: 3 feet + 4 feet + 5 feet = 12 feet.
Now that we have the perimeter, we can calculate the ratio of the longest side to the perimeter by dividing the length of the longest side (4 feet) by the perimeter (12 feet):
Ratio = Length of Longest Side / Perimeter
= 4 feet / 12 feet
Simplifying this ratio gives:
Ratio = 1/3
Therefore, the ratio of the longest side to the perimeter of the right-angled triangular-shaped billboard is 1:3.