ΔLNM is proved as isosceles triangle. Below for explanation.
<u>Step-by-step explanation:</u>
We know that:
AMBX = Square
Squares have equal sides
Since AMBX is a square, AL must equal to BN because they are the extra lengths of the square. The lengths of the square are AM, MB, BX, XA.
Side of square + Extra length = Side of triangle
This can tell us that the two sides of the triangle are equal. We also know that if 2 sides of a triangle are equal, it is classified as an isosceles triangle. Hence, ΔLNM is proved as an isosceles triangle.
