How would the area of a triangle be affected if the base and height are dilated by 1/2

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

The area would reduce to 1/4 the original area

Step-by-step explanation:

The area of a triangle = (1/2)(base)(height) or bh/2

If the triangle base and height were to reduce by one-half, the formula would change to:

Area = (1/2)(1/2 base)(1/2 height) or bh/8. Which is a reduction by 1/4

You might be interested in

Chicago is home to 2.706 million people and the city sees approximately 55 million visitors each year. China has a population of

Norma-Jean [14]

China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago.

<h3>How to apply direct proportions</h3>

A <em>direct</em> proportion is a <em>direct</em> relationship between two variables, which in this case is represented between the quantity of tourists in the city of Chicago and the population of the country of origin.

Let suppose the existence of direct proportionality and world has a population of 9000 million people, the quantity of Chinese visitors in the city of Chicago is determined by the following formula:

x = (1.393 × 10⁹ / 9 × 10⁹) × 55 × 10⁶

x = 8.512 × 10⁶

China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago. $\blacksquare$