Question

If CF = 5, CD = 12, and EF = 5, what is the perimeter of △CDE? DEC is a triangle. Point F is on side EC. The segment DF is perpendicular to the side EC.

Option 1: 29
Option 2: 30
Option 3: 34
Option 4: 36

Answer 1

The perimeter of triangle CDE is 22 units

Step-by-step explanation:

The perimeter (P) of a triangle is the sum of the lengths of its three sides. If you have a triangle with sides of lengths a, b, and c, the perimeter is given by the formula: P = a + b + c

So, you simply add the lengths of the three sides together to find the perimeter of the triangle. Keep in mind that for a triangle to be valid, the sum of the lengths of any two sides must be greater than the length of the remaining side (triangle inequality theorem).

To find the perimeter of triangle CDE, we need to add the lengths of all three sides. We are given that CF = 5, CD = 12, and EF = 5.

The perimeter of a triangle is the sum of all its sides. In this case, the perimeter is CD + CF + EF. Substituting the given values, we get perimeter = 12 + 5 + 5 = 22.

Therefore, the perimeter of triangle CDE is 22 units.