## ayyookyndall one year ago Help

1. anonymous

Use this theorem SAS Similarity Theorem. Notice the two sides of triangle TRS are proportional to the two sides of triangle TPQ. Next you notice that the included angle of these sides is the same. Therefore, similar. Let me know if you got it :)

2. ayyookyndall

So I am correct?

3. anonymous

Yup :D

4. UsukiDoll

yes it is correct

5. anonymous

First you have to apply Pythagorean theorem .. you have 3 sides then 3 combination try all of them first to be sure if it is right-angled triangle or not then see if it obtuse or acute , but first lets get through steps

6. UsukiDoll

a right triangle is exactly 90 degrees acute triangle is < 90 degrees obtuse tirangle > 90 degrees

7. UsukiDoll

ok :)

8. anonymous

Sorry I will re answer :D

9. ayyookyndall

10. anonymous

1) 80 & 89 $\sqrt{80^2 + 89^2} \neq 39$ 2) 89 & 39 $\sqrt{89^2+39^2} \neq 80$ 3) 80 & 39 $\sqrt{80^2 + 39^2} = 89$ So this is a right-angled triangle :)

11. ayyookyndall

How? A right -angled triangle would have a 90 degree with it...

12. anonymous

And you know that for a right-angled triangle Pythagorean theorem is applicable ? So why not using this fact to solve ! :D Any way you can draw them like this and get Ur calculator and some coffee then do Ur calculations for each angle |dw:1432968271852:dw|

13. anonymous

You know the formula for arc length ? It's : |dw:1432968741023:dw| So applying this to the question we will get : $\frac{ 90 }{ 360 } * 2π * 10 = ?$ So let me know your answer :)

14. anonymous

*$\frac{ n^o }{ 360^o } * 2πr$

15. anonymous

How you figured out this answer so ?

16. ayyookyndall

I used my calculator

17. ayyookyndall

I was correct, right?

18. anonymous

Nope ! You have done sth wrong :D Just type the equation I provided you and let me know

19. ayyookyndall

What does n stand for?

20. anonymous

The angle that the arc includes .. Sorry its 270 not 90 :)

21. anonymous

What is the angle for XPY ?

22. ayyookyndall

270 degrees?

23. anonymous

Aha

24. ayyookyndall

I got 94.2

25. anonymous

Nice .. This is the answer ! :D Now to get it in terms of pi just divide the result by π and you will get : 30 Then the final answer will be 30π :)

26. ayyookyndall

Okay. Thank you.

27. anonymous

Welcomes :) Feel free to ask me anytime :)