the sides of a triangle are three consecutive odd numbers and its perimeter is 19 find the side of the diameter
Answers
Answer:
17
inches
Explanation:
We can convert this into a slightly more abstract problem as follows:
For "perimeter" we can read "sum"
For "lengths of the sides of a triangle" we can read "three numbers"
If the middle of the three consecutive odd integers is
n
, then the smallest is
n
−
2
, the largest is
n
+
2
and we have:
45
=
(
n
−
2
)
+
n
+
(
n
+
2
)
=
3
n
Hence
n
=
45
3
=
15
and the largest of three numbers (i.e. the length of the longest side of the triangle in inches) is
n
+
2
=
15
+
2
=
17
Hey there !
Solution:
Given that the sides of each triangle are of the form of consecutive odd numbers. So general form of consecutive odd numbers would be :
( x - 2 ) , ( x ) , ( x + 2 )
Also the perimeter is said to be 39 cm. So if we add up all the sides of the triangle we get 39 cm as the perimeter.
So,
=> x + x + 2 + x - 2 = 39
=> 3x + 2 - 2 = 39
=> 3x = 39
=> x = 39 / 3 = 13
So the other two sides are, ( x - 2 ) = ( 13 - 2 ) = 11 cm
( x + 2 ) = ( 13 + 2 ) = 15 cm.
So the sides of the triangle are 11 cm , 13 cm, 15 cm.
Hope my answer helped !
Let the smallest side be x
The other 2 sides are (x + 2) and (x + 4)
The perimeter is 39:
x + (x + 2) + (x + 4) = 39
x + x + 2 + x + 4 = 39
3x + 6 = 39
3x = 33
x = 11
Find the sides:
First side = x = 11 cm
Second side = 11 + 2 = 13 cm
Third side = 11 + 4 = 15 cm
Answer: The length of the sides are 11cm , 13cm and 15 cm
Step-by-step explanation: