Which statements about the diagram are true? Select three
2 answers:
Answer : The correct options are:
DE + EF > DF
5 < DF < 13
Δ DEF is a scalene triangle.
Step-by-step explanation :
As we know that there are three types of triangle.
(1) Equilateral triangle : It is a triangle in which the three sides and angle are equal.
(2) Isosceles triangle : It is a triangle in which the two sides and two angle are equal.
(3) Scalene triangle : It is a triangle in which the three sides and angle are not equal.
Now we have to determine the length DF.
using Pythagoras theorem:
The length DF = 8.06 unit
So, we can say that:
DE + EF > DF
Hence, from the given options we conclude that, the correct options are:
DE + EF > DF
5 < DF < 13
Δ DEF is a scalene triangle.
You might be interested in
For this case we have the following data:
So that the figure can be a rectangle, its diagonals must be equal, that is,
In this way we have:
Clearing x we have:
Thus, x must be equal to 10 so that the figure is a rectangle.
Answer:
Option A