Emily778 Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. 11 months ago 11 months ago

1. Emily778

2. Emily778

@jim_thompson5910

3. jim_thompson5910

|dw:1369695610180:dw|

4. jim_thompson5910

|dw:1369695657608:dw|

5. jim_thompson5910

|dw:1369695680238:dw|

6. jim_thompson5910

hopefully that helps you see how to get x

7. Emily778

what should I do next?

8. jim_thompson5910

you would use the pythagorean theorem a^2 + b^2 = c^2 6^2 + 8^2 = x^2 solve for x

9. Emily778

Uh.. the answers are a lot smaller than 10,000

10. jim_thompson5910

how are you getting 10,000?

11. Emily778

6^2+8^2=100^2=10,000

12. jim_thompson5910

it should be 6^2 + 8^2 = 10^2

13. jim_thompson5910

not 100^2

14. jim_thompson5910

so somehow an extra zero popped up

15. Emily778

there's 10 as an answer on here, but not 100.

16. jim_thompson5910

$\large 6^2 + 8^2 = x^2$ $\large 36 + 64 = x^2$ $\large 100 = x^2$ $\large x^2 = 100$ $\large x = \sqrt{100}$ $\large x = 10$

17. Emily778

18. jim_thompson5910

Hint: the two triangles are congruent by the SSS property of congruence

19. Emily778

:/

20. jim_thompson5910

if two triangles are congruent, what can we say about their corresponding parts?

21. Emily778

i dunno

22. jim_thompson5910

let's say these two triangles are congruent |dw:1369697511047:dw|

23. jim_thompson5910

and these two angles are corresponding angles |dw:1369697556004:dw|

24. jim_thompson5910

since the two triangles are congruent, the corresponding angles are congruent |dw:1369697587635:dw|

25. Emily778

okay, what next?

26. jim_thompson5910

well what can you tell me about the angles 77 and x ?

27. Emily778

THE SAME..! :D

28. jim_thompson5910

yep, the two are corresponding angles so x = 77

29. Emily778

oH. tHANKS. :0

30. jim_thompson5910

yw