if three sides of a triangle are x, 2x and 3x-1 and the perimeter is 17cm, find the smallest side.
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Answer:
The smallest side is 3cm.
Step-by-step explanation:
Steps are given in the above attachment..!!
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Answered by
3
Answer :
- The smallest side of the triangle is " x " [ 3cm ]
Step-by-step explanation ::
To Find :-
- The smallest side of triangle
Solution :-
Given that,
- The three sides of a triangle are x, 2x and 3x - 1
- The perimeter of triangle = 17 cm
As we know that,
Perimeter of triangle = Sum of all sides of traingle
( x ) + ( 2x ) + ( 3x - 1 ) = 17cm ... [ Given ]
➟ x + 2x + 3x - 1 = 17
➟ 3x + 3x - 1 = 17
➟ 6x - 1 = 17
➟ 6x = 17 + 1
➟ 6x = 18
➟ x = 18/6
➟ x = 3
The value of x is 3.
Now, the sides of the triangle are ::-
The measure of side " x "
➟ x = 3cm
The measure of side " 2x "
➟ 2*3 = 6cm
The measure of side " 3x - 1 "
➟ 3*3 - 1 = 9 - 1 = 8cm
According the question,
- The smallest side of the triangle is side " x " or 3cm.
Now, Verification
➟ x + 2x + 3x - 1 = 17
➟ 3 + 2*3 + 3*3 - 1 = 17
➟ 3 + 6 + 9 - 1 = 17
➟ 9 + 9 - 1 = 17
➟ 18 - 1 = 17
➟ 17 = 17
L.HS. = R.H.S
Hence, Verified !
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