Two equal sides of a triangle are each 4 less than three sides the third side. Find the
sides of the triangle if its perimeter is 55
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Question :-
Two equal sides of a triangle are each 4 less than three sides the third side. Find the sides of the triangle if its perimeter is 55 units.
Given :-
☞ Perimeter of the triangle
☞ Two sides are equal and 4 less than the third side
To find :-
☞ The sides of triangle.
Let the third side be x units.
The other 2 equal sides are x - 4 each.
Perimeter ☞ Sum of all it's sides.
Hence,
55 = x + (x - 4) + (x - 4)
☞ 55 = 3x - 8
☞ 55 + 8 = 3x
☞ 63 = 3x
Therefore,
Sides :-
Third side ☞ 21
The two equal sides ☞ 21 - 4 =≥ 17
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Answered by
1
Answer:
let X be the third side,
then ( 3x-4) will be length of the equal side.
as per the question
55=x+2(3x-4)
55=x+6x-8
55=7x -8
55+8=7x
63 =7x
x= 63/7
x=9
Step-by-step explanation:
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