the perimeter of a triangle is 4x-8,one of the side is 2x-4and another is 3x+8. find the third side. please answer step by step
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the perimeter of a triangle is 4x-8,one of the side is 2x-4and another is 3x+8. find the third side. please answer step by step
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Answer:
Hope you mark Brainliest
Step-by-step explanation:
Perimeter of triangle = 4x-8
First side of triangle = 2x - 4
Second side of triangle = 3x + 8
Third side of triangle triangle be x
perimeter of ∆ = sum of all sides or 3a
→ 2x-4 + 3x+8 + x = 4x-8
→ x + 5x + 4 = 4x-8
→ x = 4x - 8 - 5x - 4
→ x = x-12
sunce, the third side of triangle is x-12
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Verified answer
GiveN:-
To FinD:-
SolutioN:-
Let us assume that,
Since,
We know that , the perimeter of a triangle is the sum of all its sides.
[tex] \sf \longrightarrow \: Perimeter \: of \: triangle = sum \: of \: all \: sides [/tex]
[tex] \sf \longrightarrow \: Perimeter \: of \: triangle = First \: side \: + Second \: side \: + Third \: side[/tex]
[tex]\sf \longrightarrow \: 4x - 8 = (2x - 4 )\: +( 3x + 8) \: + a[/tex]
[tex]\sf \longrightarrow \: 4x - 8 = 2x - 4 \: +3x + 8\: + a[/tex]
[tex]\sf \longrightarrow \: 4x - 8 = 2x + 3x- 4 \: + 8\: + a[/tex]
[tex]\sf \longrightarrow \: 4x - 8 = 5x + 4\: + a[/tex]
[tex]\sf \longrightarrow \: 5x + 4\: + a = 4x - 8 [/tex]
[tex]\sf \longrightarrow \: 5x \: + a = 4x - 8 - 4[/tex]
[tex]\sf \longrightarrow \: a = 4x - 5x - 8 - 4[/tex]
[tex]\sf \longrightarrow \: a = - x - 12[/tex]
[tex]\sf \longrightarrow \: a = x + 12[/tex]
Therefore:-