I need help with this question.

I just plotted a similar thing for a kite; too much work here.  Plot it yourself -- they give you the points.

We'll classify J(2,3), K(10,4), L(6,10) without a figure.

We calculate side vectors, slopes and squared distances

JK=K-J=(8,1), slope 1/8, JK²=8²+1²=65

KL=L-K=(-4,6), slope 6/-4=-3/2,  KL²=(-4)²+6² = 52

LJ=J-L=(-4,-7), slope -7/-4=7/4, LJ²=(-4)²+(-7)²=16+49=65

The squared distances match so we have two congruent sides, JK≅JL

The sides are all about the same length so we can be sure it's an acute triangle, three acute angles.

acute isosceles triangle

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

step-by-step explanation:

the shape,the size and the distance