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Troyanec [42]
3 years ago
5

The hypotenuse of a right triangle is 7 inches longer than the base and 14 inches longer than the height. the permeter of the tr

iangle is 84 inches. find its area
Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0
To determine the area of a triangle, we calculate one half of the product of the base and the height of the triangle so we need data on its base and its height. We are given the following:

Hypotenuse = 7 + base = 14 + height
Perimeter = 84 inches

The perimeter of the triangle is equal to the sum of the three sides of the triangle which are the height, base and hypotenuse. So,

Perimeter = height + base + hypotenuse = 84

We let x = height and y = base. We calculate area as follows:

84 = x + y + (7 + y)
77 = x + 2y
x = 77 -2y

Hypotenuse is related to the other sides by the Pythagorean theorem.

Hypotenuse^2 = (x^2 + y^2)
(14 + x)^2 = x^2 + y^2
(14 + (77-2y))^2 = (77-2y)^2 + y^2
(91-2y)^2 = (77-2y)^2 + y^2

Solving for y and x
y = 28
x = 21

Area = (28)(21) / 2 = 294 square inches 
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Answer:

The narrative in the question can not be described as a function

Step-by-step explanation:

For the purpose of clarity, we will rephrase the question. The key point in the question  is to determine if the price and the model are related and if they fit into independent and dependent function.

Moving forward, to properly answer this question, it will be good for us to understand what dependent and independent functions are.

DEPENDENT FUNCTIONS: These are functions or can also be refereed to as variable that represents quantities or values whose parameter depends on how the independent variable is manipulated.

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INDEPENDENT FUNCTIONS: These are functions or can also be refereed to as variable that we have control over in the process of an event therefore, we are at liberty to manipulate it as we so wish as indicated in the dependent variable.

Going back to the narrative of the question, the narrative in the question can not be described as a function because the two identifies variables which are the price and the model years are been altered due to the fact that it is a used car lot so they have both lost their true value or worth. However, some might argue that price here is the independent function or variable while model year is the dependent variable.

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