## DrPepperx3 Group Title 6 review questions help please? medal! 4 months ago 4 months ago

1. DrPepperx3 Group Title

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

2. whpalmer4 Group Title

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. DrPepperx3 Group Title

They have 2 equal sides and 2 equal angles?

4. whpalmer4 Group Title

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

5. DrPepperx3 Group Title

4 ?

6. whpalmer4 Group Title

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

7. DrPepperx3 Group Title

I'm still not sure .. /:

8. whpalmer4 Group Title

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

9. whpalmer4 Group Title

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

10. DrPepperx3 Group Title

why would it be 8 ?

11. DrPepperx3 Group Title

sorry I feel stupid >_<

12. whpalmer4 Group Title

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 Group Title

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

14. DrPepperx3 Group Title

ohhhhh ok I understand

15. whpalmer4 Group Title

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. DrPepperx3 Group Title

k hold on

17. DrPepperx3 Group Title

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

18. whpalmer4 Group Title

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 Group Title

$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. DrPepperx3 Group Title

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

21. DrPepperx3 Group Title

@whpalmer4

22. whpalmer4 Group Title

23. DrPepperx3 Group Title

Use the Pythagorean theorem

24. whpalmer4 Group Title

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

25. DrPepperx3 Group Title

okay ty c:

26. whpalmer4 Group Title

you're welcome