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2 answers:
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Answer:
The correct option is;
Yes, the line should be perpendicular to one of the rectangular faces
Step-by-step explanation:
The given information are;
A triangular prism lying on a rectangular base and a line drawn along the slant height
A perpendicular bisector should therefore be perpendicular with reference to the base of the triangular prism such that the cross section will be congruent to the triangular faces
Therefore Marco is correct and the correct option is yes, the line should be perpendicular to one of the rectangular faces (the face the prism is lying on).
Answer:
The values are:
Step-by-step explanation:
Given:
- P = (x₁, y₁, z₁) = (1, 2, b)
- Q = (x₂, y₂, z₂) = (c, -7, 4)
- m = R = (x, y, z) = (-3, a, -1)
To Determine:
a = ?
b = ?
c = ?
Determining the values of a, b, and c
Using the mid-point formula
- As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b) and Q(c,-7,4), so
- m = R = (x, y, z) = (-3, a, -1)
Using the mid-point formula
given
(x₁, y₁, z₁) = (1, 2, b) = P
(x₂, y₂, z₂) = (c, -7, 4) = Q
m = (x, y, z) = (-3, a, -1) = R
substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P, (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula
as (x, y, z) = (-3, a, -1), so
<u>Determining 'c'</u>
-3 = (1+c) / (2)
-3 × 2 = 1+c
<u>Determining 'a'</u>
a = (2+(-7)) / 2
<u>Determining 'b'</u>
-1 = (b+4) / 2
Therefore, the values are: