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How many unique triangles can be made when one angle measures 90° and another angle is half that measure?
More than 2
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Judith is digging for sandstone at a geological site. She has 160 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a rectangle using all the rope Judith has with her?
16 m × 10 m
80 m × 80 m
65 m × 10 m
70 m × 10 m
For the first one:
We know that triangles must have their interior angles sum to 180 degrees. If one was 90, the other would be 45. So 180-(90+45)=45, and no other option. So 1
For the second one:
We want a perimeter that equals 160 because she is roping off the outside of the hole.
We know that a rectangle has 2 pairs of equal opposite sides. And the Perimeter of our rectangle is 160=2(l+w). Really, from this point you can just plug and chug to get your answer, which is D 2(80)=160