Hello, DivideBy0!
I have 5 triangles, which have sides 3-4-2, 3-4-3, 3-4-4, 3-4-5, 3-4-6.
Is there a way to tell which has the largest area without using lengthy formulae? .Yes!
The area of a triangle is: .A .= .½·b·h
Make sketches of the triangles, using 4 as the base. Code:
*
3 * 3 * : * 3
* :* 2 * : *
* : * * : *
* * * * * * * * * * *
4 4
*
* * * 5
3 *: * 3 * *
* : * 4 * *
* : * * *
* * * * * * * * *
4 4
*
:* * 6
:3* *
: * *
. * * * *
4
They all have a base of 4.
Which triangle has the greatest height?