## sara1234 3 years ago steps to solve for x

1. sara1234

|dw:1351740959275:dw|

2. tcarroll010

a^2 + b^2 = c^2 where c is the length of the hypotenuse.

3. sara1234

what do i put for a and b

4. tcarroll010

Do you know what a hypotenuse is?

5. sara1234

x the longest side

6. tcarroll010

Yes, that's right. Of the two remaining sides, it doesn't matter which one you call "a" or "b", just as long as neither is the hypotenuse because the hypotenuse is "c", or in your diagram, "x". So, you could change the formula to a^2 + b^2 = x^2 because it is understood that that is x. Once you add together the squares of "a" and "b", you THEN take the square root to get x.

7. sara1234

can you please show me so i can use it as an example

8. tcarroll010

Ok, but you will fill in the "a" and the "b". You are looking for steps as indicated in your problem. x^2 = a^2 + b^2, so x = sqrt(a^2 + b^2). As for actual steps: 1) square "a" and "b" separately, 2) add the resulting values to get one number, 3) take the square root of that number and then you have "x".

9. sara1234

i don't understand like that i need this as an examlpe

10. tcarroll010

What's "a" and what's "b"? They are in your diagram.

11. sara1234

7 and 32

12. tcarroll010

Good. So, x^2 = a^2 + b^2 becomes x^2 = 7^2 + 32^2. Now, square 7 and 32 separately and get two numbers, one for each. Add them to get one number. Take square root of that one number and you get "x".

13. sara1234

i got 6.2 which i dont think is right

14. tcarroll010

Your post came before I posted, so first go back to my last post.

15. sara1234

1075

16. tcarroll010

It's 1073, not 1075, but you were close. 1073 is x^2, so you take the square root of 1073 to get x.

17. sara1234

3.71 13.21 5.94 8.25

18. tcarroll010

|dw:1351732095243:dw|Is your diagram supposed to look like this?

19. sara1234

no the 32 is a degree

20. surdawi

use sin sin(32) = 7/x

21. tcarroll010

That changes everything. sin 32 = 7/x. x = 7 / sin 32.

22. sara1234

23. tcarroll010

just gave it. look for the "x ="

24. sara1234

what???

25. tcarroll010

x = 7 / sin 32.

26. sara1234

27. tcarroll010

then do the sin 32 and use the number

28. tcarroll010

I did the sine and found that the answer is one that is listed.

29. tcarroll010

can you determine sin 32?

30. surdawi

13.21?

31. tcarroll010

That was for the student to get the answer, surdawi.

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