10. if you are asked to give the intersection of any plane and any line not in that
plane, your answer will always be be a
11. if you are asked to give the intersection of two non-parallel planes, your
answer will always be a
12. if you are asked to give the intersection of two lines, your answer will always
be a

10. If you are asked to give the intersection of any plane and any line not in that  plane, your answer will always be be a point

11. If you are asked to give the intersection of two non-parallel planes, your answer will always be a line

12. If you are asked to give the intersection of two lines, your answer will always  be a point

Step-by-step explanation:

10. In space, a plane and a line that is not lying on this plane or parallel to it will always meet at point.

For instance, line PN intersects plane A at point N

11. The intersection of two planes in space is a line.

For instance, the intersection of planes QRST and PQRN is line RQ.

12. Two lines that are not parallel in the same plane will always intersect at a point.

For instance, lines TQ and PQ intersects at point Q

However, if two parallel lines are identical and coincide with each other, they intersect at infinitely many points.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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