One leg is horizontal, on the line y=3. Another leg is vertical, on the line x=1. The point where these intersect, D(1, 3) is the vertex of a right angle. Any right triangle inscribed in a circle has its hypotenuse as the diameter of the circle.
Since the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse: ((8, 3) + (1, -5))/2 = (4.5, -1).
Answer:
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Answer:
She needs to purchase 50 square feet of wood .
Step-by-step explanation:
we can find the number of square feet of wood needed to purchase by finding the area of the table
The area of the table = area of the triangle + area of the rectangle
Area of the triangle:
Area of the triangle =
On substituting the values from the attached figure , we get
Area of the triangle =
Area of the triangle =
Area of the triangle = 10 square feet
Area of the rectangle:
Area of the rectangle = Length X Breadth
On substituting the values from the attached figure , we get
Area of the triangle =
Area of the triangle = 40 square feet
Thus the area of the table = 10 + 40 = 50 square feet
