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1.

triangles.

2.

triangles.

3.

a. Triangle PQR with sides PQ = 15 cm, QR = 15 cm, RA = 15 cm.

b. Triangle DEF with sides DE = 11 inches, EF = 10 inches, FD = 11 inches.

c. Triangle ABC with sides AB = 5 cm, BC = 7 cm, CA = 6 cm.

a. The lengths of all the three sides of the triangle are equal. Thus triangle PQR is equilateral.

b. Since the lengths of two sides DE and FD are equal to each other, thus triangle DEF is isosceles.

c. In triangle ABC all the sides are of different lengths, so this triangle is scalene.

triangle is XYZ?

Thus, XY+YZ+ZX = 36

XY+12+13 = 36

XY+25-25 = 36 - 25

XY = 11

Since the length of all the sides of triangle XYZ is different, this triangle is scalene.