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.
Answer: acute isosceles triangle
