Question

A triangle has a base of 9 feet and a height of 5 feet. What is its area

Answer 1

22.5

Answer 2

the area of a triangle is half that of a square

9*5 equals the area of a square; so divide it in half

Answer 3

Lets not give answers, shall we, just give ways to solve, hints tips and formulae!

Answer 4

A=1/2 bh
a= 1/2* 9*5

Answer 5

@amistre64
square with sides of different measures?????

Answer 6

half bh =to area
22.5

Answer 7

lol ... you oughta see the squares I draw :)

Answer 8

maybe u wanted to say half of the rectangle.....

Answer 9

if a square has different measure then it is not called a square

Answer 10

good thing I didnt say it was a hexagon ... whew! then noone would know what i was saying ;)

Answer 11

haha

Answer 12

it is not half of a rectantangle coz height is different from length or breadth

Answer 13

all triangles that can be formed from a rectangle with base 9 and height 5 area precisely half the area of the rectangle. you simply slide the top part of the triangle across the top part of the rectangle and leave the base as is

Answer 14

Only 2 triangles can be drawn, draw a diagonal and it ll disect the rectangle into its two triangles. Thus area the half

Answer 15

well; at most 3 trianlges can be formed; 1 is half the area; the other 2 combine to make the other half.

Answer 16

you can similarly divide the first half into its two constituents in which case it ll give 4 and you can go on until infinity :D :D

Answer 17

can something have an infinite surface area but a finite volume?

Answer 18

I don't think so, cause volume is an extension of the surface in the third dimension, so anything multiplied by infinity gives infinity.

Answer 19

Any triangle can be converted into a parallelogram by drawing appropriate lines...
and one of the sides of the triangle will become the diagonal of the resulting ||gm
so the ||gm will consist of two triangles of equal area
so area of the triangle will be half the area of ||gm

area of a ||gm = base*height

base*height
so area of triangle = ------------ !!!!!
2

Answer 20

gabriels horn; has infinite surface area with a volume of pi

Answer 21

I am not aware of that amistre64, i ll study about it :)

Answer 22

ok, i just read, but it can never have infinite surface area, and so the volume will always be less than pi, so at certain point we make an approximate.

Answer 23

it can by definition:

\[\int_{1}^{\infty}\pi(1/x)^2dx\implies\pi\text{ as a volume of revolution}\]

whereas the infinite length of the surface area created by the revolution is infinite :)

Answer 24

one might argue that pi itself is an infinite number; never ends. But we know that pi is between 3 and 4 units. such that the horn can be overfilled with paint; but never covered by paint ...

Answer 25

Thats a very interesting way to look at it amistre64, using the paint example, no wonder you are in the group sensei :D, But i believe we are spoiling this question by discussing about something totally unrelated never the less very interesting :D