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

An acute triangle has all angles less than \(90^{\circ}\), a right triangle has one angle equal to \(90^{\circ}\), and an obtuse triangle has one angle greater than \(90^{\circ}\). Looking at \(\triangle JKH\), all angles are less than \(90^{\circ}\), so it is an acute triangle.

Step2: Classify by sides

A scalene triangle has all sides of different lengths, an isosceles triangle has at least two sides of equal length, and an equilateral triangle has all sides equal. In \(\triangle JKH\), two sides (\(JK\) and \(KH\)) are of equal length, so it is an isosceles triangle.

Answer:

By its angles: acute triangle. By its sides: isosceles triangle.