Question

Which statements about the diagram are true? Select three

Answer 1

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.

Answer 2

Answer:

lets keep it simple :)

Step-by-step explanation:

1.

3.

5.

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