Jkl has vertices at j(-4,-2) k(1,-1) and l (-2,-4). determine if jkl is a right triangle.

Yes, it is a right triangle

Step-by-step explanation:

Hello, I think I can help you with this

you can solve this finding the lengths and then find the longest length, it would be the hypotenuse, and the lengths must fit to

Step 1

you can find the distance between 2 points P1 and P2 using:

Let

P1=J(-4,-2)

P2=K(1,-1)

P3=L(-2,-4)

distance JK=P1P2=

distance KL=P2P3=

distance JL=P1P3=

so the lengths are

The longest length is JK, hence this is the hypotenuse

Step 2

Check

hence this is a right triangle.

Have a nice day

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.