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
scalene right equilateral obtuse equiangular
isosceles acute

Explanation:

Step1: Classify by Angles

A triangle with all angles less than \(90^\circ\) is acute. The given triangle (visually, all angles appear acute) so by angles, it's acute.

Step2: Classify by Sides

A triangle with two equal sides is isosceles. If we assume (from visual or standard) two sides are equal, so by sides, it's isosceles. (Alternatively, if all sides different, scalene, but the triangle here likely isosceles or scalene; but common visual for such a triangle is isosceles or acute - isosceles. However, if we check the options, acute (angle) and isosceles (side) or scalene. Wait, the triangle in the diagram: let's re - check. The triangle has vertices A, B, C. If two sides are equal, isosceles. All angles acute, so acute.

Answer:

By angles: acute; By sides: isosceles (or if all sides different, scalene, but the diagram likely isosceles - acute. So the answer is (angle: acute, side: isosceles) or (angle: acute, side: scalene if all sides different). But from the options, acute (angle) and isosceles (side) or scalene. But the most probable is acute (angle) and isosceles (side) or scalene. Wait, the options are scalene, right, equilateral, obtuse, equiangular, isosceles, acute. So for angle: acute (all angles < 90°), for side: isosceles (two sides equal) or scalene (all sides different). The triangle in the diagram looks like two sides are equal, so isosceles. So:

By angles: acute; By sides: isosceles.