contestada

Item 12


The area of the triangle shown is represented by A=s(s−14)(s−12)(s−6)−−−−−−−−−−−−−−−−−−−−√, where s is equal to half the perimeter. What is the height h of the triangle? Round your answer to the nearest hundredth.

Respuesta :

jmonterrozar

Answer:

The height is 4.472

Step-by-step explanation:

That formula is Heron's formula.

Where "s" is calculated like this:

s = (a + b + c) / 2

In this case:

a = 14

b = 12

c = 6

replacing:

s = (14 + 12 + 6) / 2

s = 16

Now we calculate the area:

A ^ 2 = 16 * (16−14) * (16−12) * (16−6)

A ^ 2 = 1280

A = 35.777

The area of the triangle is:

A = b * h / 2

In this case we will take the base as the longest side of the triangle, that is to say = 14

Thus:

h = A * 2 / b

h = 35.777 * 2/16

h = 4.472

So the height is 4.472

Otras preguntas