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Question

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Explanation:

Step1: Recall triangle classification

A triangle with all sides equal is equilateral. A triangle with all angles \(60^{\circ}\) is equilateral. A triangle with all sides of different lengths is scalene. A triangle with two equal sides or two equal angles is isosceles.

Step2: Analyze first triangle

All sides are \(7\), so it is equilateral (and also isosceles as equilateral is a special case of isosceles).

Step3: Analyze second triangle

All angles are \(60^{\circ}\), so it is equilateral (and also isosceles).

Step4: Analyze third triangle

Sides are \(5\), \(7\), \(11\) (all different), so it is scalene.

Step5: Analyze fourth triangle

Two angles are \(45^{\circ}\), so it is isosceles (right - angled isosceles).

Answer:

First triangle: Equilátero, Isósceles.
Second triangle: Equilátero, Isósceles.
Third triangle: Escaleno.
Fourth triangle: Isósceles.