Triangle ABC has vertices (4,-1), B(5,6) and C(1,3). Prove using coordinate geometry that ABC is an isosceles right triangle.

Step-by-step explanation:

first find distance between ab

then between bc

then ac

in isosceles triangle 2 sides are equal

so if two sides means the distance we find are same

the givan triangle is isosceles

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.