A cabin in the shape of a regular pentagonal pyramid has a slant height of 16 feet and a base edge length of 12 feet. Paint for
1 answer:
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Answer:
.
Step-by-step explanation:
Let and
denote the two endpoints.
The formula for the midpoint of these two points would be:
.
(Similar to taking the average of each coordinate.)
In this question, it is given that whereas
. Substitute these two values into the expression for the coordinate of the midpoint:
-coordinate of the midpoint:
.
-coordinate of the midpoint:
.
Solve these two equations for and
:
whereas
.
Hence, the coordinate of the other point would be .
let's recall that an equilateral triangle has all interior angles of 60°.
Check the picture below.
so as you can see, 2√3 = x = r, namely the radius of the circle.
