# In an inclined triangular prism, the lateral surface area is 260 cm2, the base perimeter is 52 (cm)

In an inclined triangular prism, the lateral surface area is 260 cm2, the base perimeter is 52 (cm), the distance between the lateral ribs is 5, 12 and 9 (cm). Find the side edge of the prism.

Since the segments A1M, A1K, MH are the distance between the lateral edges of the inclined prism, the formed triangle A1MK is the perpendicular section of the prism.

Let’s define the perimeter of the triangle A1MK.

Pa1mk = (5 + 9 + 12) = 26 cm.

The lateral surface area of the inclined prism is: Sside = Pa1mk * CC1.

CC1 = Sside / Pa1mk = 260/26 = 10 cm.

Answer: The side edge of the prism is 10 cm.

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