Let's do this question the length of one of the diagonals of a rectangle whose sides are ten and twenty
five, twenty four centimeter is all right.
Both the video give it a try and then let's do it together.
All right.
Let's do it together.
Let's start drawing a rough sketch over here.
We have a rectangle and let this be the diagonal.
Now, it's given that the sides are 10 centimetre and twenty four centimeter, respectively.
Now, over here, we know that in the case of a rectangle, this angle is equal to 90 degree because
every internal angle is equal to 90 degrees in a rectangle, as per definition to ASPO Pythagoras Theorem.
We can see that in this right angle triangle, this square is equal to ten squared plus twenty four
square.
Right.
Ten square gives you one hundred and twenty four square gives you remember how to do squares.
So you have three places you do four square.
That's sixteen.
Right.
So you get six over here.
One is carryforward, two into four gives eight, 18 to 16.
Sixteen plus one is 17.
So you write seven over here and one is carryforward for two.
Square is four plus one is five to twenty four square is five seventy five.
Seventy six for this square is equal to hundred plus five seventy six.
That's equal to six hundred seventy six.
What is equal to square root of six hundred seventy six.
That's true.
The prime factorization over here.
Well, well here you have two twos and two thirteenth.
Therefore this is equal to two in the thirteen which is equal to twenty six centimeters.