459,312 views
8 votes
8 votes
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

User Pettys
by
2.7k points

1 Answer

25 votes
25 votes

Answer:

The logs do not form a right-angle triangle

Explanation:

Given


image

Required

Do the logs form a right-angled triangle

Applying Pythagoras theorem


image

Where a is the length of the longest log.

So, we have:


image


image


image

The above shows an inequality.

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

User SUBHASIS MONDAL
by
2.8k points
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