Alice is designing a book shelf. The segment LQ represents the base of the book shelf. Alice wants to construct a line to repres
ent a rack passing through R and parallel to side LQ. She uses a straightedge and compass to complete some steps of the construction, as shown below:
Which of these is likely to be her next step in constructing the rack parallel to LQ?
Answer Choices:
Place the compass at S and adjust its width to point P.
Without changing the width of the compass, fix the compass at P and draw an arc.
Without changing the width of the compass, place the compass at S or P and draw an arc similar to the one drawn.
Place the compass at N and adjust the width to a length that is greater than the length of segment NS.
Which of these is likely to be her next step in constructing the rack parallel to LQ?
Answer Choices:
Place the compass at S and adjust its width to point P.
Without changing the width of the compass, fix the compass at P and draw an arc.
Without changing the width of the compass, place the compass at S or P and draw an arc similar to the one drawn.
Place the compass at N and adjust the width to a length that is greater than the length of segment NS.
2 answers:
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9514 1404 393
Answer:
not a right triangle
Step-by-step explanation:
The perimeter is 22, so we have ...
AB +BC +CA = 22
8 + 5 + CA = 22
CA = 22 -13 = 9
If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.
AB² +BC² = 8² +5² = 64 +25 = 89
This is not the same as ...
CA² = 9² = 81
The triangle is not a right triangle.
_____
<em>Additional comment</em>
If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)
