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9-127 Nicole has three long logs. She wants to place them in a
triangle around a campfire to allow people to sit around the fire
The logs have lengers 9.11 and 21 feet
Can Nicole create a right triangle with the logs she has
Use the Pythagorean theorem to justify your answer

Respuesta :

MrRoyal

Answer:

The logs do not form a right-angle triangle

Step-by-step explanation:

Given

[tex]Logs: 9ft, 11ft, 21ft[/tex]

Required

Do the logs form a right-angled triangle

Applying Pythagoras theorem

[tex]a^2 = b^2 + c^2[/tex]

Where a is the length of the longest log.

So, we have:

[tex]21^2 = 9^2 + 11^2[/tex]

[tex]441 = 81 + 121[/tex]

[tex]441 \ne 202[/tex]

The above shows an inequality.

Hence, the logs do not form a right-angle triangle

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