The perimeter of a triangle is 170 feet and the sides are in the ratio of 25: 14: 12. find the area of the triangle.

  494.34 ft^2

Step-by-step explanation:

If we assume the given ratio units are actual side lengths, then we can compute the area using Heron's formula:

  A = √(s(s-a)(s-b)(s-c)) . . . . where a, b, c are side lengths, and s=(a+b+c)/2

For this triangle, that area is ...

  s = (25 +14 +12)/2 = 51/2 = 25.5

  A = √(25.5(25.5 -25)(25.5 -14)(25.5 -12)) = √(25.5·0.5·11.5·13.5) = √1979.4375

  A ≈ 44.4909 . . . . square ratio units

__

The perimeter in ratio units is 2s = 51. The actual perimeter is 170 feet, so the scale factor between ratio units and feet is ...

  (170 ft)/(51 ratio units) = (10/3) ft/ratio unit

The area scale factor is the square of this, so the area in square feet is ...

  (44.4909 units^2)(10/3 ft/unit)^2 = 494.34 ft^2

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

answer: 414,377,008

step-by-step explanation:

just multiply it