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 ?

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 = 10×6

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:

triangleare:What is a triangle?three-edged polygonwith three vertices. It is a fundamental shape in geometry.TriangleABC denotes a triangle with vertices A, B, and C.non-collinear pointsdefine a unique triangle and, by extension, a unique plane.baseandheightof the triangle:constantof variation (k).height.triangleare:triangleshere:https://brainly.com/question/17335144