The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
9.3+b=14.5
9.3+b=14.5
How I got my answer:The perimeter of a scalene triangle is 14.5 cm and the longest side is twice that of the shortest side.The longest side measures 6.2 cm.
To find the side lengths of a scalene triangle, we can use the equation:
Perimeter = A + B + C, where A, B, and C are the lengths of the sides of the triangle.
In this case, we are given that the perimeter of the triangle is 14.5 cm. Therefore, we can write:
14.5 = A + B + C
We are also given that the longest side measures 6.2 cm. Let's assume this side is C. And it's mentioned that the longest side is twice that of the shortest side. Let's assume the shortest side is A. Therefore, the length of side B is twice the length of side A.
So, A = x (shortest side)
B = 2x (middle side)
C = 6.2 cm (longest side)
Now, we substitute these values into the equation:
14.5 = x + 2x + 6.2
Simplifying the equation:
14.5 = 3x + 6.2
Now, we can solve for x by subtracting 6.2 from both sides of the equation:
14.5 - 6.2 = 3x
8.3 = 3x
Dividing both sides of the equation by 3:
8.3/3 = x
2.77 = x
Therefore, the shortest side (A) has a length of 2.77 cm, the middle side (B) has a length of 2 * 2.77 = 5.54 cm, and the longest side (C) has a length of 6.2 cm.
9.3+b =15.5
If the 3rd side is x, then
6.2/2 + x + 6.2 = 14.5