Triangle def has vertices d(1, 3), e(3, –1), and f(–2, –1). determine if triangle def is an equilateral, isosceles, or scalene triangle.
a. equilateral
b. isosceles
c. scalene
d. none of these

DEF is a isosceles triangle.

B is correct.

Step-by-step explanation:

Given The vertices of triangle D(1, 3), E(3, –1), and F(–2, –1)

We will find distance or length of each side of triangle using distance formula.

Formula:

Thus, EF=DF=5

If two sides of triangle is equal then it is isosceles triangle.

Hence, DEF is a isosceles triangle.

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus