Pregunta
A triangle has a perimeter of 20 and two of its sides measure 7 and 5 . What is the length of the third side?
Ask by Bond Kelly. in Spain
Feb 28,2025
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The third side of the triangle is 8.
Solución
Let the three sides of the triangle be 7, 5, and x. The perimeter is the sum of the side lengths, so we have:
7 + 5 + x = 20
Adding 7 and 5 gives:
12 + x = 20
Subtract 12 from both sides to solve for x:
x = 20 - 12 = 8
Thus, the third side of the triangle is 8.
To ensure these sides form a triangle, verify the triangle inequality:
• 7 + 5 > 8 (12 > 8)
• 7 + 8 > 5 (15 > 5)
• 5 + 8 > 7 (13 > 7)
All conditions are met, so the triangle is valid.
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Simplifique esta solución Bonus Knowledge
To find the length of the third side of the triangle, you can simply use the perimeter formula: Perimeter = Side1 + Side2 + Side3. Here, you've got a perimeter of 20, with two sides measuring 7 and 5. So, the calculation would look like this: 20 = 7 + 5 + Side3. Adding 7 and 5 gives you 12, which means Side3 = 20 - 12 = 8. Therefore, the length of the third side is 8 units. With this handy little trick, you'll be crunching triangle side lengths like a pro in no time!
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