Question

https://media.glynlyon.com/o_geo_2010/5/mis.gif

find the missing part

Answer 1

A^2 + B^2 = C^2 (path theorum)

a = 8
b = 10
c = ?

8^2 + 10^2 = C^2
64 + 100 = c^2
164 = C^2
C=root 164
C= 13

Answer 2

i dont think that right ..

Answer 3

lol, i dont have a calculator atm and im too lazy to pull it up on my cpu ;D

but side c= root 164

from their just use SOHCAHTOA to solve for the angles :P

Answer 4

................

Answer 5

SOHCAHTOA:

sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent

so you can solve for angle "Z" by finding the cos of it (adjacent side/hypotenuse)

so cos(z)=8/c (root 164)
cos(z) = 8/12.8
cos(z) = 0.625
z = cos^-1(0.625)
z = 51.3 degrees

and you can solve angle "Y" by finding the tan of it (opposite side/adjacent side)

so Tan(Y)=8/10
Tan(Y) = 0.8
y = Tan^-1(0.8)
y = 38.6 degrees

check:
51.3+38.6+90=180?
179.9=180

i rounded my answers, but your teachers should accept that unless he's a major retricehole :P