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EleoNora [17]
3 years ago
14

Which shapes can be made from a planar cross section of a triangular pyramid? More than one can be correct: trapezoid, pentagon,

isosceles triangle, rectangle, hexagon, scalene triangle, square, decagon, or equilateral triangle

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0

Answer:

Triangle in isosceles, scalene or equilateral forms and

quadrilateral in trapezoid, rectangle or square forms

Step-by-step explanation:

<em>Refer to pictures attached</em>

<u>Shapes can be formed are:</u>

  • Trapezoid,  

<em>when perpendicular  to base</em>

  • Rectangle or square<em>,</em>

<em>when  angle cross section to base</em>

  • Isosceles triangle,

when base is isosceles triangle and parallel cross section to base,

or angle cross section

  • Scalene triangle,

<em>when base is scalene triangle and parallel cross section to base,</em>

<em>or angle cross section</em>

  • Equilateral triangle,

<em>when base is equilateral triangle and parallel cross section to base,</em>

<em>or angle cross section</em>

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Step-by-step explanation:

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Circles are described below by the coordinates of their centers, C, and one point on their circumference, A. Determine an equati
Art [367]

Using the given center and point at the circumference, the equation of the circles are:

  • a) (x - 5)^2 + (y - 2)^2 = 100
  • b) (x + 2)^2 + (y + 5)^2 = 169
  • c) (x - 5)^2 + (y + 1)^2 = 65

<h3>What is the equation of a circle?</h3>
  • The equation of a circle of radius r and center (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

Item a:

  • Center C(5,2), hence x_0 = 5, y_0 = 2.

The point at the circumference is A(11,10), hence:

(x - 5)^2 + (y - 2)^2 = r^2

(11 - 5)^2 + (10 - 2)^2 = r^2

r^2 = 100

Hence:

(x - 5)^2 + (y - 2)^2 = 100

Item b:

  • Center C(-2,-5), hence x_0 = -2, y_0 = -5.

The point at the circumference is A(3,-17), hence:

(x + 2)^2 + (y + 5)^2 = r^2

(3 + 2)^2 + (-17 - 5)^2 = r^2

r^2 = 169

Hence:

(x + 2)^2 + (y + 5)^2 = 169

Item c:

  • Center C(5,-1), hence x_0 = 5, y_0 = -1.

The point at the circumference is A(-2,-5), hence:

(x - 5)^2 + (y + 1)^2 = r^2

(-2 - 5)^2 + (-5 + 1)^2 = r^2

r^2 = 65

Hence:

(x - 5)^2 + (y + 1)^2 = 65

You can learn more about equation of a circle at brainly.com/question/24307696

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