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