Answer:
a = 33cm
b = 33cm
c = 11cm
Step-by-step explanation:
Let us say that the sides of the triangle are a, b and c
The perimeter of a triangle can be calculated by adding all three sides of the triangle.
Perimeter = a + b + c
Let side c be the shortest side of the triangle.
From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that
a = 3c and b = 3c
We can input these values into the perimeter of the triangle
Perimeter = 3c + 3c + c = 77
Perimeter = 7c = 77
c = 11
The shortest side, c is = 11 cm
side a is 3 X 11 = 33cm
side b = 3 X 11 = 33 cm
