Tina drew a triangle with side lengths 6, 8, and 14. She claims it is a right triangle. Is she correct?
1 answer:
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9514 1404 393
Answer:
A- Triangle 2: {8, 15, 17}
Step-by-step explanation:
You may recognize that the triple of choice A is a Pythagorean triple, so can be the side lengths of a right triangle.
Checking the numbers can be done nicely by a graphing calculator or spreadsheet to help avoid the tedium of doing it "by hand".
The basic idea is that the triangle will be a right triangle if the sum of the squares of the shorter sides is the square of the longer side.
To solve this problem we can use proportion, but first its nice to transform our fraction into improper fraction, so
and
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of fuel
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