## Suleman_Ahmed 2 years ago Find the value of x on a right triangle when 2 variables are missing and the hypotenuse is 3 square root of 2

1. Suleman_Ahmed

|dw:1359443877815:dw|for a better look at the problem

2. ajprincess

|dw:1359444180420:dw| Since BC=AC and <ACB =90 triangle ABC is an isosceles right angled triangle. So <ABC=<BAC=y y+y+90=180 2y+90=180 2y=180-90 2y=90 y=90/2 y=45

3. ajprincess

|dw:1359444336807:dw| sin45=opp/hyp 1/(sqrt2)=x/(3sqrt2) Can u find x nw? @Suleman_Ahmed

4. Suleman_Ahmed

I'm still confused can you do it step by step and the answer has to be radical form.

5. ajprincess

|dw:1359444635517:dw| Since BC=AC and <ACB =90 triangle ABC is an isosceles right angled triangle. So <ABC=<BAC=y y+y+90=180 2y+90=180 2y=180-90 2y=90 y=90/2 y=45 Do u get until this?

6. Suleman_Ahmed

yes

7. ajprincess

ok good:)

8. ajprincess

Are u familiar with trigonometirc identities like cos, sin, tan etc?

9. Suleman_Ahmed

Actually I'm not, sorry.

10. ajprincess

k. hw abt pythagoras' theorem?

11. Suleman_Ahmed

yes I know that.

12. ajprincess

hmm good.:) so use that to find x. Can u do?

13. Suleman_Ahmed

I'm very new to this so i don't think i can.

14. ajprincess

Can u plz tell me vat is pythagoras' theorem?

15. Suleman_Ahmed

a squared + b squared = c squared

16. ajprincess

Nw from ur diagram can u tell me vat is a, b and c?

17. Suleman_Ahmed

A=45 B=45 C=90

18. ajprincess

|dw:1359445451467:dw| In ur diagram a=x, b=x and c=3sqrt2 Following it?

19. Suleman_Ahmed

yes now I am

20. ajprincess

Nw can u find x using the puthagoras' theorem?

21. Suleman_Ahmed

a squared ?

22. ajprincess

x^2+x^2=(3sqrt2)^2

23. Suleman_Ahmed

okay i understand a little better

24. ajprincess

Can u find x nw? @Suleman_Ahmed

25. Suleman_Ahmed

nope

26. ajprincess

what is x^2+x^2=?

27. Suleman_Ahmed

3sqr root 2

28. ajprincess

x^2+x^2=2x^2 2x^2=(3sqrt2)^2 (3sqrt2)^2=3^2*(sqrt2)^2 =9*2 Hope that helps.

29. Suleman_Ahmed

okay thanks that did