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Alborosie
2 years ago
5

The diagram shows a right-angled triangle.

Mathematics
1 answer:
Ratling [72]2 years ago
4 0
Where is the diagram?
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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.
Viktor [21]
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
6 0
3 years ago
Find the measure of x . Answer me please
Komok [63]

Answer:

40

Step-by-step explanation:

The sum of measure of exterior angles is equal to 360

5x-20+2x+5+x+15+x = 360 add like terms

9x = 360 divide both sides by 9

x = 40

4 0
3 years ago
Help needed bad at math
ANTONII [103]

first and second part put 0.75, then multiply 0.75 by 2 to get 1.50, then write in the third part 1 and 1/2

hope this helps

6 0
2 years ago
Helppppp thank you I appreciate it
Lilit [14]

Answer:

TshirtsyouyouyouyouyouyouyouyouyouyouyouyouyouisisyouyouIIisisyou

Step-by-step explanation:

pr.nepaltheyouyouyouyouyouyouyouyouyouyouyouisisisyouyouyou

8 0
2 years ago
Read 2 more answers
1.25 is closer to 1.04 or not ?<br> plz heelp
Ray Of Light [21]

Answer:

Yes 1.25 is closer to 1.04

Step-by-step explanation:

Hope this helps!

3 0
2 years ago
Read 2 more answers
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