a sphere is inscribed in a cube. describe how the radius of the sphere is related to the dimension of the cube
2 answers:
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Answer:
Option A 90,68
Step-by-step explanation:
see the attached figure to better understand the problem
The figure shows a kite
we know that
A kite properties include
1) two pairs of consecutive, congruent sides
2) congruent non-vertex angles
3) perpendicular diagonals
Find the measure of angle 1
we have that
----> by the diagonals are perpendicular
Find the measure of angle 2
we know that
triangle AEB is congruent with triangle CEB
so
In the right triangle EAB
----> by complementary angles in a right triangle
so
therefore
The sum exterior angles of a square are:
4*90=360°
4*90=360°