auxiarc

2) 

a) To solve this problem, you'd use a²+b²=c², where c is the hypotenuse.

8²+5²=c²         solve

64+25=c²         add

c²=89             square root each side

c=√89

b) Use a²+b²=c² again.

a²+3²=4²        solve

a²+9=16         subtract

a²=7               square root each side

a=√7

c) Use a²+b²=c² again.

a²+8²=15²      solve

a²+64=225     subtract

a²=161           square root each side

a=√161

Hello! I tried to explain a little so that you can understand. If you have questions, let me know! I hope this helps!

1)

a)The legs are g, p, and j. The hypotenuse is the leg opposite of the right angle, so the hypentenuse in this problem is g.

b) The legs are n, d, and r. The hypotenuse is d.

Thank you for your time, seriously. With the fraction part, I'm just as confused as you are. It'd just be easier to enter in a decimal in my opinion, but it is what it is lol. I appreciate you helping me :)

Mine is supposed to be 4π/15. That's my bad, omigosh. I'm sorry, I didn't even realize that until you said something. 

Rounded up, right? 

Alright, so I attempted it for myself & I'm still very confused. When I enter what you gave me for the total area, I got 1.315947252 = .133333333.

I'm not sure what I'm doing wrong.. And when I tried to solve for the last part, I got 20.525. But is that the area of the whole circle or the sector? 

Thank you so much! I wasn't even given that formula.. It's so confusing lol. Thank you again. 

I just learned this but I'll give it a shot:) I hope I can help!

You can solve for the other length of the triangle by using the pythagorean theorem, a^2 + b^2 = c^2. Substitute your values.

So, 2.6^2 + 5.6^2 = c^2

6.76 + 31.36 = c^2

38.12 = c^2

Sqrt 38.12 = c

c = 6.174139616

Now you must find the semi-perimeter by using (a+b+c)/2. Substitute your values.

(2.6+5.6+6.2)/2 = s

14.4 / 2 = s

s = 7.2

Now use your semi-perimeter to solve for the area using the formula, a = [sqrt (s (s - a) (s - b) (s - c) ) ]. Substitute your values where s is your semi-perimeter. 

a = sqrt [ 7.2 (7.2 - 2.6) (7.2 - 5.6) (7.2 - 6.2) ]

a = sqrt [ 7.2 (4.6) (1.6) (1) ]

a = sqrt [ 52.992 ]

a = 7.3 

If you have any questions, then let me know! I'm glad to help!

That helped lots. Thank you so much:)

Omigosh! Thank you so so so much!! I got sqrt of 6 over 6. Hopefully I'm right. :) Thank you again!!