The sides of a triangle in cm, are , x , 2x – 5 and 2x – 3 . The perimeter of the triangle is 32 cm . i) Write down an equation for x
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Question
The sides of a triangle in cm, are , x , 2x – 5 and 2x – 3 . The perimeter of the triangle is 32 cm . i) Write down an equation for x
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9514 1404 393
Answer:
32 = (x) +(2x -5) +(2x -3)
Step-by-step explanation:
The perimeter is the sum of the side lengths:
P = a + b + c
32 = (x) +(2x -5) +(2x -3)
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This can be simplified to …
32 = 5x -8
and solved to find x:
x = (32 +8)/5 = 8