• Brainly User

This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Triangular prism has three lateral quadrilateral faces and two parallel triangular bases.

1)  Divide the lateral area by the prism's three lateral faces:
      450 cm² ÷ 3 = 150 cm²

2)  Find the length of the quadrilateral (which is also the side of the triangular base) given the area 150 cm² and height 10 cm:
     150 cm² ÷ 10 cm = 15 cm.

3)  Solve for the perimeter of one of the equilateral triangular bases given the side 15 cm:
    Perimeter = 3 (side)
                     = 3 (15 cm)
                     = 45 cm.

ANSWER:  The perimeter of one of the bases is 45 cm.