Para hacer un polideportivo se ha comprado una parcela triangular cuyos lados miden 300m , 375m y 362m .
Si el precio de un metro cuadrado es 66,11 euros , ¿cual ha sido el precio de la parcela?

Respuesta :

Answer:

3334650.54 euros

Step-by-step explanation:

We can calculate the area of the triangle knowing its sides by means of Heron's formula:

A = [tex]\sqrt{p(p-a)(p-b)(p-c)}[/tex]

Where p is the semi-perimeter is equal to:

[tex]p = \frac{a+b+c}{2}[/tex]

now, we replace:

[tex]p = \frac{300+375+362}{2}[/tex]

p = 518.5

now, we replace this value and we are left with:

A = [tex]\sqrt{518.5(518.5-300)(518.5-375)(518.5-362)}[/tex]

A = 50440.94 m^2

Now to know the price, we multiply by the price of the square meter:

50440.94 * 66.11 = 3334 650.54

In other words, the value of the parcel is 3334 650.54 euros