what does it mean to refer to a 20 inch tv set or a 25 in tv set? such units refer to the diagonalof the screen. a 25 in tv set also has a width of 2o inches what is its height in inches
Hint: It's a right triangle. Where 25 is the hypotenuse and 20 is the vertical length.
i was asking how to figure it out but i need to see how its worked
Sure. Do you know the formula of a right triangle? (hint: do you know pythagorean's theorem?)
not sure this is a new chapter we are learning
did you hear about a squared plus b squared equals c squared?
thats the theorum
Good! So what does each letter mean? the a,b,c?
(also, it's five am here, so I've gotta head to bed soon, please try to answer as quickly as possible)
are we not looking for c in the problem
I'm afraid not. A and B are 'legs', and C is the hypotenuse.
What are we missing? One of the two legs or the hypotenuse/
i would say the hypotenuse
Well, just to double check: do you know what a hypotenuse is?
the longest side of a right angle and the prolem is asking for the hieght
Perfect. And the longest side is opposite of the right angle (you'll have to trust me on this if you haven't learned this yet).
ok
So let's imagine this: your right angle is the bottom right corner of your screen. And our diagnol line will run from the top right (where the x on your screen is) to your start/windows button.
So far so good? so we have a long line running in this direction /
ok
sweet. So we know our diagnal is 25 and our width (where your start menu and clock are) is 20.
So, plug these numbers in for me into our formula.
(and also show me what your formula looks like after plugging it in)
ok
am i getting ahead or wouldnt both the height and width be squared\[25^{2} +20^{2 }\]
kinda.
c is our hypotenuse, right?
yes
and do we have a value for our hypotenuse? (remember the rule about hypotenuse being opposite of our right angle)
at the moment its not known
is it really?
its what we are trying to find
Remember that imaginary diagnal I had you draw through your monitor?
yes
was that not a hypotenuse?
i see your point
So how much is our hypotenuse, then? :P
Battery will die soon, so I'll go ahead and make an exception to my usual style of teaching and give you the formula:
25
\[20^2 + b^2 = 25^2\]
400 + b squared = 625
alright, gotta go. Subtract 400 from both sides and find out what squared = the new number. Good luck.
225
thanks
would it be 225 inches?
remember: B^2 (b squared) = 225 So how do you get B by itself?
Join our real-time social learning platform and learn together with your friends!