Math challenge?

taking length as 'a', and height as 'b', use the pythagorean theorem to find their diagonal 'c'

you can then rename the diagonal 'a2' (just to make things clearer for yourself if needed), and then take width as 'b2', then use the theorem again to find the diagonal (which is your distance from top corner to opp bottom corner)

The Pythagorean Theorem deals with right triangles and is defined as the following:

a-squared + b-squared= c-squared

or

a^2+b^2=c^2

Where 'a' is the opposite side of the triangle (height)

Where 'b' is the adjacent angle (width=length)

Where 'c' is known as the hypotenuse (distance or diagnol length)

After you are given the measurements of your classroom you need to use the height or side 'a' of the triangle and the length/width or 'b' to find 'c' or the hypotenuse of the triangle which is the distance from the top corner to the bottom corner. Here is an example:

Let's say the classroom has the following:

height (a) 9ft

width (b) 40ft

using the Pythagorean Theorem: a^2+b^2=c^2

you would make the following substitutions to give you the following equation:

(9)^2+(40)^2=c^2

following the rules of PEMDAS for the order of operation (Parentheses, Exponent, Multiply, Divide, Add Subtract) you would get the following:

81+1600=c^2

1681=c^2

The by taking the square root of 1681 will give you 'c' or the distance from the top corner to the bottom corner

c=sqrt(1681)

c= 41 ft

The Pythagorean Theorem is a fundament component to mathematics. It is very easy to use,and a helpful hint is to always draw a picture of a triangle w/ the given lengths to help you visualize the problem, because sometimes you maybe be given 'a' and 'c' and have to find 'b', or given 'b' and 'c' and have to find 'a'.

Find the height of the room and the the base of each wall. The diagonal will be the c of the pythagorean theorem c^2 = a^2 + b^2 or c = square root of (a^2 + b^2)

where a is the height of the room and b is the base of the wall

use length and width as the legs to find the diagonal of the room with the pythagorean theorem.

then use that diagonal and the height of the room as the legs to find the diagonal from the top of the room to the bottom.

The distance is equal to the square root of the value you get when u add the square of the length and width.

The longest side of a right triangle is the side c, or hypotenuse. Once you find the length of each leg, (each of the shorter sides(a,b)) you square them and add them to each other. That will give you c squared or the hypotenuse squared. Then take the square root of c squared to get the hypotenuse's length. a squared+ b squared=c squared and take the square root!

Here a linnk that explains the theorem. It's a video that's east to understand! Good luck!

length of line diagonally = sqrt(sqrt(width^2+length^2) +height^2)