Thread: Pythagoras' Theorem Triangle

Write down the altitude in the special case where s=2b.
What type of triangle is this and what is its area?


Please help. Thanks.

Equilateral

You tell us the area.

Area = 1/2bh

= 1/2 x 2b x a

I have no idea, I'm sorry!

What are you not getting? You have it. Simplify and you are done.

Do you see that it is equilateral?

Originally Posted by stellina_91

Write down the altitude in the special case where s=2b.

Use pythogorus theorem to get the altitude first, then use it to obtain area fully in terms of b.

In the answer it says:

This is an equilateral triangle with a = b x root 3 and area = b^2 x root 3.


I don't know how they got this.

Originally Posted by stellina_91

In the answer it says:

This is an equilateral triangle with a = b x root 3 and area = b^2 x root 3.


I don't know how they got this.

Do you know Pythogorus theorem?
Can you see a right angled triangle in the figure?

Now apply Pythogorus theorem to that right angled triangle. And express a in terms of b.

Ohh I see now!! Thanks so much!! Sorry it took me while.

Originally Posted by stellina_91

Ohh I see now!! Thanks so much!! Sorry it took me while.

No problem. If you are stuck somewhere, do let us know