the base of isosceles triagle is 5 m less than 4 times the length of a side. The perimeter is 67, find the length of each side and the base
Jimmy, stop it or you will be banned.
the answer is x equals 6 which will give the equal sides to be 24 and the base 19 since is 5 meters less. When you add them all up, your perimeter is 67m
To find the length of each side and the base of the isosceles triangle, we can set up some equations based on the given information.
Let's assume that the equal sides of the triangle have a length of "x" meters. Since the base is 5 meters less than 4 times the length of a side, we can express it as (4x - 5) meters.
The perimeter of a triangle is the sum of the lengths of all three sides. In this case, we are given that the perimeter is 67 meters. So, we can write the equation:
x + x + (4x - 5) = 67
Simplifying the equation:
6x - 5 = 67
Adding 5 to both sides:
6x = 72
Dividing both sides by 6:
x = 12
So, each side of the triangle has a length of 12 meters.
To find the base of the triangle, substitute the value of x into the expression for the base:
base = 4x - 5
base = 4(12) - 5
base = 48 - 5
base = 43
Therefore, the length of each side is 12 meters, and the base is 43 meters.