Answer:
Step-by-step explanation:
Given: AB≅DE, BC≅EF, CA≅FD
Since those are the given it is maped A to D, B to E, C to F
This is a rigid transformation because the distance is preserve (givens) and the triangle ABC is map to triangle DEF.
Rigid transformations produce congruent figures so triangle ABC is congruent to triangle DEF
A triangle equals 180 so do the base divided by 180 and then the number you get you would split that number in half and then it should be the same number for both sides
Answer:
AINT NOBODY CARES ABOUT SCHOOL
but the amount they spent each month was 145$
Let
x,y, and z the long sides of the triangle
we know that
x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4
substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40
Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²
the answer is
26558.21 ft²