Question

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.

Answer 1

Answer: The answer is D.

Step-by-step explanation: EF=4.58 EG=4.58 FG=4

4.58x4.58+4+13.16

Answer 2

Answer:

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.