Respuesta :
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
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