1. ## 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?

2. Equilateral

You tell us the area.

3. Area = 1/2bh

= 1/2 x 2b x a

I have no idea, I'm sorry!

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

Do you see that it is equilateral?

5. 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.

6. 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.

7. Originally Posted by stellina_91

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.

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

9. 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