The side of a triangle are in the ratio of 25 : 14 : 12 and its perimeter is 510m. The greatest side of the triangle is (a) 120 m (b) 170 m (c) 250 m (d) 270 m
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Answer:
Step-by-step explanation:
The lengths are 250 m, 140 m and 120 m. Therefore, the greatest side of a triangle is 250 m
Answered by
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AnSwer -:
The option “C” is correct _______________________________
Explanation-:
Perimeter of triangle-:
“P= a + b + c”
P = perimeter
A = Length of first side
B = length of second side
C = length of third side
_______________________________
Now ,
Given,
The length three sides of triangle are in
ratio-:25 : 14 :12
The perimeter of triangle is 510 m
To find ,
The greater side of triangle
_______________________________
Let the length of three sides of triangle
be 25x , 14x and 12 x
Now ,
Perimeter of triangle-:
“P= a + b + c”
P = perimeter = 510 m
A = Length of first side= 25 x
B = length of second side= 14 x
C = length of third side= 12 x
Now ,
25x + 14x + 12x = 510 m
39x + 12x = 510 m
51 x = 510 m
X = 510/51
X = 10
Now ,
Length of first side of the triangle-: 25x
25 x 10 = 250 m
Length of second side of triangle-: 14x
14 x 10 = 140 m
Length of third side of triangle-: 12 x
12 x 10 = 120 m
Therefore,
The greater side of triangle is 250 m
Hence ,
The option “C” is correct
_______________________________
Triangle-: A triangle is a three-sided
polygon that consists of three edges
and three vertices.
_______________________________
The option “C” is correct _______________________________
Explanation-:
Perimeter of triangle-:
“P= a + b + c”
P = perimeter
A = Length of first side
B = length of second side
C = length of third side
_______________________________
Now ,
Given,
The length three sides of triangle are in
ratio-:25 : 14 :12
The perimeter of triangle is 510 m
To find ,
The greater side of triangle
_______________________________
Let the length of three sides of triangle
be 25x , 14x and 12 x
Now ,
Perimeter of triangle-:
“P= a + b + c”
P = perimeter = 510 m
A = Length of first side= 25 x
B = length of second side= 14 x
C = length of third side= 12 x
Now ,
25x + 14x + 12x = 510 m
39x + 12x = 510 m
51 x = 510 m
X = 510/51
X = 10
Now ,
Length of first side of the triangle-: 25x
25 x 10 = 250 m
Length of second side of triangle-: 14x
14 x 10 = 140 m
Length of third side of triangle-: 12 x
12 x 10 = 120 m
Therefore,
The greater side of triangle is 250 m
Hence ,
The option “C” is correct
_______________________________
Triangle-: A triangle is a three-sided
polygon that consists of three edges
and three vertices.
_______________________________
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