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babunello [35]
3 years ago
14

Which statements about the diagram are true? Select three

Mathematics
2 answers:
stepan [7]3 years ago
8 0

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:

(Hypotenus)^2=(Perpendicular)^2+(Base)^2

(9)^2=(Perpendicular)^2+(4)^2

81=(Perpendicular)^2+16

(Perpendicular)^2=81-16

(Perpendicular)^2=65

Perpendicular=8.06

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.

Kamila [148]3 years ago
3 0

Answer:

lets keep it simple :)

Step-by-step explanation:

1.

3.

5.

are the answers for edi

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Yuliya22 [10]

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*****************************************************************

Actually this could have been done a little easier by using the Law of Cosines and then the Law of Sines, but I just thought I'd show another way to solve this.

Step-by-step explanation:

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