Label the points, lines, and planes to show AB and line m perpendicular to each other in plane S at point B. plane S
1 answer:
Answer:
Please fins attached the required labelled drawing
Step-by-step explanation:
The given parameters are;
1) Lines AB and m are both coplanar on plane S and are perpendicular to each other intersecting at point B
2) Plane R and plane S intersect on line p
3) Line AB and line p are perpendicular to each other and both intersect with line n at point A
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Let the base of the triangle be AB, and let CH be the height. Just for reference, we have
Moreover, let CH=y and BC=z
Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system
If we solve the first two equations for y squared, we have
And we can deduce
So that the third equation becomes
(we can't accept the negative root because negative lengths make no sense)