The paper is enough to find the area of ​​the triangle…

The paper is enough to find the area of ​​the triangle…

It seems to me that you are ready. And seems to me that you are curious.

Let's start the lesson.

Now we have to check whether the area of ​​acute triangle is ½bh square units as the area of ​​right triangle is ½bh square units.

This can be tested very easily. Take an A4 sheet or a legal size sheet or a rectangular sheet or a rectangular card whatever you have.

Now draw only two lines on the paper as shown in the picture below and make a acute angled triangle.

Then cut out the two parts outside the triangle. Did you notice that they also form triangles?

Arrange the top of the cut pieces horizontally to form the bottom of the triangle we have created.

Are the two halves of the right-angled triangle perfectly congruent? So the two segments we have cut form a triangle. And that's the same triangle size we set up.

What else the acute triangle we have constructed is equal to the triangle formed by the two cut segments. We take those two equilateral triangles together to form a complete rectangular sheet. So here also half of the area of ​​the rectangle is the area of ​​the triangle.

That is, the area of ​​the acute angled triangle that we have taken here with the length of the rectangle as the base and the width of the rectangle as the height is half of the area of ​​the rectangle?

So we have got the proof.

Now you want to see if this proof also applies to obtuse triangles. That's right. We will see it tomorrow.

Can you see it today, I hear you say. However, since I have been commenting a bit too much for the past few days, I will stop at this level to give you some rest today.

See you again tomorrow.

*****