Hour: 134 Date: 3 10130
Geometry - Law of Sines and Cosines Quiz Review
c = a + b2 - 2abcos C C=cos- c-aʻ- b' sin A sin B sin
-2ab a b c
Use the Law of Cosines to solve problems #1 & 2. You must show all work for credit.
1. Find side AB
5
78°

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

asdsaddsa

step-by-step explanation:

the answer is 11.2 (i know i’m late)

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus