Find the area of the triangle.
18.2 m
13 m
22.3 m
[ ? ] m2

118.2977 sq. m.

Step-by-step explanation:

Step 1: Calculate "s" (half of the triangles perimeter):

s = a+b+c / 2

s = (13 + 18.2 + 22.3) / 2

s = 26.75

Step 2: Then calculate the Area:

Herons formula

A = √( s(s-a)(s-b)(s-c) )

A = √(26.75 (26.75 - 13)(26.75-18.2)(26.75-22.3)

A = (3√9951535) /80

A = 118.2977 sq. m.

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.