Question

Nathan cut a rectangular tile in half for his kitchen floor design. The tile was NOT a square. He made once cut along a diagonal from one vertex to another vertex. Classify the TWO triangles resulting from the cut by their angles and their side angles.

Answer 1

They will both be right, scalene triangles.

Answer 2

Answer with Explanation:

It is Given that Nathan cut a rectangular tile in half for his kitchen floor design.

As,the cut is made along a diagonal from one vertex to another vertex.

If you cut rectangle along through any of two diagonals,

you will get two triangles which are congruent.

→∵ Opposite sides are Congruent.

→Diagonal is common.

So,two triangles will be congruent by SAS.

Triangles categorized as

1. Scalene triangle

2. Right Triangle

The Two Triangles named in a single way as Scalene Right Triangle.