Let start up where we always we start up and that means we need to label.
So let us label what we have – base on the information we have.
Now what we are looking for first of all is we are looking for the roof because that is
we do not know what it is, so let us call that C, so this is are our roof we are going
to call that C and that distance from there all the way up to there, so that is the missing
length.
Now let look what we have, now let us look at the 2 vertical walls.
We have vertical wall here which is 10m and we have another vertical wall here 16m as
I mentioned earlier.
Now how do we find this little gap here, the yellow part pipe?
Well if all of these are 16 and this is 10 is it not true that all we have to subtract
10 to 16 and then they will give us the gap on the yellow part.
Let us do that, 16 take away 10 will leads us this feet here which is 6m – so let us
write down 6.
So that height there up to about there is 6m.
Now how do we find the width between the 2 walls, well thankfully that given to us in
the question.
as you can see down the bottom this is 8m so that is 8m we come up here this is also
8m let us put that in there, that is 8m from there all the way across to there.
Let us take another closer look and check.
okay that is what we are looking for, we have 6 here 8 there it is a right angle triangle
we are looking for the hypotenuse which is the roof and that is C. so let us put in the
equation now.
So let us start up with the C squared, now we know that C squared = a squared + b squared.
let us substitute the values, we have our A we will pull that 8m, so that is going to
be 8 squared + the height here just the yellow part that is just 6, so that is 6 squared
and that = C squared.
Ok, we are looking for the hypotenuse, since that is our missing length, we add this 2
guys together.
Now remember when we are working with a triangle, obviously all triangles have got 3 sides,
for this we are given 2 we have to find the third one so here the 2 we have, we are looking
for the third one, what it is again?
It is the hypotenuse right over here.
so let us add the 2 numbers together – so 8 squared first of all is going to be 64 +
6 squared is 36 – and that equals C squared again let us write it down.
Okay, C squared = 64 + 36 let us add them together, 64+36 will gives us 100.
Now how do we turn C squared into C which is the length of the roof, well obviously
we are going to do what on both sides?
It is we need to square root both sides.
Alright square root there, square root there and what we do on one side we do to the others.
So the square root of c squared reverts back to its just normal C does not it?
The square root of 100 is – 10 is in it?
so if you have to look here it also says meters so let us put in the units.
So the length of the roof all across their which is C, the hypotenuse is C=10m.
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