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What is a diagonal in a shape?
A diagonal in a shape is a straight line from one vertex to another vertex (corner).
What do you mean by diagonal of hexagon?
it's just a vertex to a another vertex besides the sides itself
How do you find the hypotenuse of a rectangle?
You don't. A rectangle doesn't have a hypoteneuse, only a right-angled triangle has a hypoteneuse. As for the diagonal of a rectangle, you can draw it from any vertex to the opposite vertex. It's length is the square root of the sum of the squares of the longer and the shorter side-lengths.
If the area of a square is 72 sq in find the radius?
The radius of a square is the radius of the circumcircle, ie the distance from the centre of the square to any vertex, which is half the length of the diagonal of the square. Using Pythagoras: diagonal^2 = side^2 + side^2 → diagonal = √(2 x side^2) area = side^2 → diagonal = √(2 x area) radius = 1/2 x diagonal = 1/2 x √(2 x area) → radius = 1/2 x √(2 x 72 sq in) = 1/2 x √(144 sq in) = 1/2 x 12 in = 6 in.
How many diagonals could be drawn from one vertex of a 15-gon?
13 The correct answer is 12. From any one vertex, you can draw a diagonal to all but 3 vertices: the vertex itself and the next vertex on either side of your vertex (these would be sides of your shape, not diagonals).
