Question

classify the triangle by its sides and by measuring its angles. the triangle can be classified by its angles as and by its sides as.

Explanation:

Step1: Classify by angles

A right - angled triangle has one angle equal to \(90^{\circ}\). In \(\triangle XYZ\), \(\angle Y = 90^{\circ}\), so it is a right - angled triangle.

Step2: Classify by sides

An isosceles triangle has at least two sides equal. In \(\triangle XYZ\), \(XY = YZ\) (marked with the same tick), so it is an isosceles triangle.

Answer:

By its angles: right - angled triangle; By its sides: isosceles triangle.