anonymous 2 years ago 6 review questions help please? medal!

1. anonymous

1. What is the value of h? a. 4 b. 8 sqrt 3 c. 16 d. 8 sqrt 2

2. whpalmer4

Okay, you have an isosceles right triangle here, because both of the angles are the same. What does that imply about the associated sides?

3. anonymous

They have 2 equal sides and 2 equal angles?

4. whpalmer4

Right. So what is the length of the other leg of the triangle?

5. anonymous

4 ?

6. whpalmer4

|dw:1393634970228:dw| What is the value of ???

7. anonymous

I'm still not sure .. /:

8. whpalmer4

come on, we said this was an isosceles triangle, which means two equal angles and two equal sides!

9. whpalmer4

Doesn't that mean ??? has to be 8?

10. anonymous

why would it be 8 ?

11. anonymous

sorry I feel stupid >_<

12. whpalmer4

because it is an isosceles triangle. One of the sides is 8. Another one must be 8 as well, and it can't be the hypotenuse, because the hypotenuse is the longest side.

13. whpalmer4

it's an isosceles triangle because it has two equal angles. You see that part, right?

14. anonymous

ohhhhh ok I understand

15. whpalmer4

So we can update our drawing: |dw:1393635393884:dw| If the two sides labeled 8 are $$a=8,b=8$$ respectively, what is the length of the hypotenuse, $$c$$? Use the Pythagorean theorem

16. anonymous

k hold on

17. anonymous

its a^2+b^2=c^2 do I add the 45 degrees together to get c? or is the 8?

18. whpalmer4

The Pythagorean theorem relates only to the lengths of the sides. Angles don't matter (except, of course, that one of them must be 90 degrees for it to be a right triangle).

19. whpalmer4

$a^2+b^2=c^2$$8^2+8^2=c^2$$2*8^2 = c^2$Take the square root of both sides:$\sqrt{2*8^2} = \sqrt{c^2}$Simplify$8\sqrt{2} = c$ If you have a $$45^\circ/45^\circ/90^\circ$$ triangle such as this one, the side lengths are always in the ratio $$1:1:\sqrt{2}$$

20. anonymous

is that the way you would do it for this kind of triangle too ?

21. anonymous

@whpalmer4

22. whpalmer4

23. anonymous

Use the Pythagorean theorem

24. whpalmer4

Well, yes, if you know 2 sides in a right triangle, you can use the PT to find the 3rd side.

25. anonymous

okay ty c:

26. whpalmer4

you're welcome