Respuesta :

the length of PQ is 33 cm

Explanation:

The perimeter of the triangle = 94 cm

The triangle is an isosceles triangle as two of its sides are equal

From the diagram:

PQ = RQ

Perimeter of triangle = PQ + PR + RQ

PR = 28 cm

94 = PQ + 28 + RQ

94 = 2PQ + 28

94 - 28 = 2PQ

66 = 2PQ

divide both sides by 2:

66/2 = 2PQ/2

PQ = 33

Hence, the length of PQ is 33 cm