Perimeter of a triangle. The perimeter of a triangle is 195 mm. If the lengths of the sides are consecutive odd integers, find the length of each side.
Let x be the length of the shortest side.
x+ (x+2) + (x+4) = 195
3x + 6 = 195
3x = 189
You finish it.
If you have a equilateral triangle and its perimeter is 195 what are its sides.
To find the length of each side of a triangle when the perimeter is given, we can set up an equation. Let's call the three sides of the triangle x, x+2, and x+4, where x is the first odd integer.
The perimeter of a triangle is the sum of the lengths of its sides. Hence, the equation can be written as:
x + (x+2) + (x+4) = 195
Simplifying the equation:
3x + 6 = 195
Now, we can isolate x by subtracting 6 from both sides:
3x = 195 - 6
3x = 189
Divide both sides of the equation by 3 to solve for x:
x = 189 / 3
x = 63
Therefore, the first odd integer (the smallest side of the triangle) is 63 mm. The lengths of the other two sides can be found by adding 2 and 4 to the first side:
x+2 = 63 + 2 = 65 mm
x+4 = 63 + 4 = 67 mm
So, the lengths of the sides of the triangle are 63 mm, 65 mm, and 67 mm.