## ihatealgebrasomuch 3 years ago Can someone please help me solve for x? **will draw the triangle**

1. ihatealgebrasomuch

|dw:1353973213886:dw|

2. geoffb

\(a^{2} + b^{2} = c^{2}\)

3. satellite73

\(2^2+(x+3)^2=(3x+5)^2\)

4. geoffb

|dw:1353973382413:dw|

5. ihatealgebrasomuch

@geoffb i know, but there is a certain way to do it when solving for x that i didnt learn due to absence. can someone please show me the way to find x?

6. hba

(Use Pythagoras Theorem) |dw:1353973381648:dw|

7. hba

@ihatealgebrasomuch Got it ?

8. hba

H is the hypotenuse B is the base and P is the Perpendicular

9. ihatealgebrasomuch

i know the pythagorean theorem, but i dont understand how to solve this problem. i tried but the answer i got was completely wrong from the teachers @hba

10. geoffb

@satellite73 gave you the formula. @hba, I think you mislabelled.

11. ihatealgebrasomuch

i know, that you'd get 4+(x+3)^2 = (3x+5)^2 i did the math and got something like √3/2 , but the answer is x = -(3/2) + (√3/2) and i dont understand why