Triangle efg is an isosceles triangle with eg=ef. what is the approximate length of ef, and what is the approximate perimeter of the triangle efg? round your answers to the nearest hundredth

the possible answers are

a. the approximate length of ef is 4.47 units, and the approximate perimeter of triangle efg is 12.47 units

b. the approximate length of ef is 4.47 units, and the approximate perimeter of triangle efg is 12.94 units.

c. the approximate length of ef is 4.58 units, and the approximate perimeter of the triangle efg is 12.58 units.

d. the approximate length of ef is 4.58 units, and the approximate perimeter of triangle efg is 13.16 units.

B. The approximate length of EF is 4.47 units, and the approximate perimeter of triangle EFG is 12.94 units.

Step-by-step explanation:

First step is to determine the length of EF, since that will give us 2 sides of the triangle (since EG = EF).

From the diagram, we can easily make a rectangle triangle by dropping a vertical line from vertex E, let's name Z the meeting point of that line with the segment GF.  Then we have a rectangle triangle EZF with a height of 4 and a base of 2, of which EF is the hypotenuse. So...

EF² = 4² + 2² = 16 + 4 = 20

EF = √20 = 4.47

Now that we have EF, we also have EG:

EF = 4.47

EG = 4.47

GF = 4 (visible on the graph)

Perimeter = 4.47 + 4.47 + 4 = 12.94 units.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

a is the correct