itslesleym
contestada

If a triangle has lengths of 3 ft and 54 ft, check all the possible lengths for the third side

51 ft
53 ft
55 ft
57 ft
58 ft

Respuesta :

MrBillDoesMath!


Answer:  51,53,55,57


Discussion. By the triangle inequality the sum of the lengths of any two sides is greater than or equal to the third side. In our case,   3 + 54 = 57, so  the third side must be less than or equal to 57.


MrB

facundo3141592

We know the length of two sides of a triangle and with that, we want to see the possible lengths of the third side. We will see that the two correct options are 53ft and 55ft.

We know by the triangle inequality that for any triangle, the sum of any two sides must be larger than the other side.

Then if we define as X as the missing side, we must have that:

3ft + 54ft > X

57ft > X

Then the possible lengths for the third side are these smaller than 57ft, from this we can discard the 57ft and 58ft options.

Trivially, for any of the given options we will see that:

X + 54ft > 3ft

And we also need to see that:

X + 3ft > 54ft

X > 54ft - 3ft = 51t

X > 51ft

From this, we can discard the 51ft option.

Then the only two correct options are 53ft and 55ft.

If you want to learn more, you can read:

https://brainly.com/question/18345497

Otras preguntas