The base of each triangle varies inversely with the height. what are the possible base is 14 and height of a second triangle if the first triangle’s base is 14 and its height 6 is ?

Question

The base of each triangle varies inversely with the height. what are the possible base is 14 and height of a second triangle if the first triangle's base is 14 and its height 6 is ?

ngocdiep · Answer

The possible base and height of a second  triangle  are:    B = 5   H = 12      What is a triangle?    A triangle is a  three-edged polygon  with three vertices. It is a fundamental shape in geometry.    Triangle  ABC denotes a triangle with vertices A, B, and C.   In Euclidean geometry, any three  non-collinear points  define a unique triangle and, by extension, a unique plane.       To find the  base  and  height  of the triangle:    First, we must find the  constant  of variation (k).   The problem indicates that the base of each triangle varies inversely with the  height .   So, this can be represented as below:  B = k/H    B is the base of the triangle (B=10).   H is the height of the triangle (H=6).   k is the constant of variation.   When we clear 'k', we obtain:    B = k/H   k = BxH   k = 10x6   k = 60   Now, we have:    B = 60/H   We can give any value to 'H' and you will obtain the base of the second triangle.  If H = 12, then:    B = 60/H   B = 60/12   B = 5     Therefore, the possible base and height of a second  triangle  are:    B = 5   H = 12       Know more about  triangles  here:   https://brainly.com/question/17335144     #SPJ4

What is a triangle?

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