Question

The ratio of product of the sides of an equilateral triangle to it's perimeter is equal to the ratio of the product of the side of another triangle to its perimeter. Then the triangles are
1) congruent
2) not congruent
3) not similar
4) none of these​

Answer 1

Answer:

Triangle = Tri (three) + Angle

In Euclidean geometry any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane (i.e. a two-dimensional Euclidean space). In other words, there is only one plane that contains that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is only one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is no longer true. This article is about triangles in Euclidean geometry, and in particular, the Euclidean plane, except where otherwise noted.

Step-by-step explanation:

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Answer 2

Answer:

congruent

Step-by-step explanation:

let side of an equilateral triangle be "a"

    product of 3 sides = a³

    perimeter = 3a

    product of 3 sides: perimeter = a³ : 3a = a²: 3

let side of another triangle be "b"

     product of 3 sides = b³

     perimeter = 3b

     product of 3 sides: perimeter = b³: 3b = b²:3

Given a²/3 = b²/3 ⇒ a²= b² ⇒ a= b

sides are equal, angle in equilateral triangle is 60°

So , the are congruent.

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