Answer:
Step-by-step explanation:
Using the Theorem of the side of a triangle:
And using the Height Theorem:
y =
And by the Pythagorean Therorem:
z =
The answer is b) :) hope i helped!
-18 can be achieved through the expression:
(This is your answer.)
M<A + m<B + m<C = 180
80 + 3x + 5 + <span>5x - 1 = 180
8x + 84 = 180
8x =96
x = 12
m<</span><span>B = 3x + 5 = 3(12) + 5 = 41
m<C = </span><span>5x - 1 = 5(12) - 1 =59
and
m<A = 80
</span><span>answer:
order from shortest to longest in ∆ABC</span><span>
AC, AB, BC
P.S.
Smallest angle, shortest side.....
Largest angle, longer side....
</span>
First of all, we must use the equivalent formula of cos2x, it is cos2x=2cos^2x-1,
the equation has become 2cos^2x-1 +2cosx +1 = 0, it means 2cos^2x+2cosx = 0, or
cosx(cosx+1)=0, we get cosx=0, implying x=Pi/2, or (cosx+1)=0, cosx= -1
implying x = Pi
for x=0, cos2*0+2cos0+1=1+2+1=4 impossible
for x= Pi, cos2*Pi+2cosPi+1=1-2+1=0 it is exact , so the solution is x=Pi