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
Answer:
A. -2/7
Step-by-step explanation:
slope = rise/run = 2/(-7) = -2/7
Answer:
The missing digits are 3 and 1.
Step-by-step explanation:
6+3÷3-1=2
9÷3-1=2
3-1=2
Answer:
1.5
Step-by-step explanation:
2 ft. / the number of sides for width (2) = 1 then 3 ft. / number of sides for length (2) = 1.5
1.5 x 1 = 1.5
Answer:
42 minutes is the median amount of time
Step-by-step explanation:
The Median is the middle value of data set.
If there is "odd" number of numbers, and there are n numbers, the median is:
(n/2) + 1 th number
If there is "even" number of numbers, and there are n numbers, the median is:
Average of n/2th and (n/2) + 1 th number
Here, we have 5 numbers, so the median would be:
(5/2) + 1 th number
That is
3rd number
But, we need to arrange the numbers from least to greatest. Lets write it:
19, 23, 42, 56, 67
The third number is 42, this is the median