# A triangular prism whose bases are equilateral triangles has a height of 10 cm and a lateral area of 450 sq cm what is perimeter of one of its bases?

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by remsssss

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by remsssss

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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.**

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.