Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the p

Question

2 years ago

12

ossible base and height of a second triangle if the first triangle's base is 14 and its height is 6?

1 answer:

Sphinxa [80] · Answer 1 · 2023-03-11T02:39:39+03:00

The possible base and height of a second triangle are 12 and 7, respectively

<h3>How to determine the possible base and height of a second triangle?</h3>

An inverse variation is represented as:

Base * Height = k

Where k is the constant of variation.

In this case, k is the area

So, we have:

Base * Height = Area

For the first triangle, we have:

14 * 6 = Area

Evaluate

Area = 84

Substitute Area = 84 in Base * Height = Area

Base * Height = 84

Express 84 as the product of two numbers

Base * Height = 12 * 7

By comparison;

Base =12 and Height = 7

Hence, the possible base and height of a second triangle are 12 and 7, respectively