The points (8.1) and (8, 11) lie on a circle with a radius of 5. Find the center of the circle
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Answer:
Step-by-step explanation:
Since the ladybug is far from each edge of the rectangle, it follows that the length of the new rectangle is
and the width is
.
Recall a formula for the area of a rectangle: , where
is a length and
is a width of the rectangle.
Substitute and
into the formula:
Multiply the numbers:
Therefore, the required area is equal to .
For it to be a right triangle, it must have a right angle.
Right angles are formed by perpendicuar lines.
If we find that two of these lines are perpendicular, we will know it is a rt. triangle.
Perpendicular lines have slopes which are opposite reciprocals (like 3 and -1/3)
To find the slope between two points, use the formula
.
For line AB:
For line AC:
For line BC:
-2 and 1/2 are opposite reciprocals, so this must be a right triangle.
<em>
</em><em>Another way to do this would be to use the distance formula to find the three side lengths and see if the Pythagorean Theorem applies.</em>
Right angles are formed by perpendicuar lines.
If we find that two of these lines are perpendicular, we will know it is a rt. triangle.
Perpendicular lines have slopes which are opposite reciprocals (like 3 and -1/3)
To find the slope between two points, use the formula
For line AB:
For line AC:
For line BC:
-2 and 1/2 are opposite reciprocals, so this must be a right triangle.
<em>
</em><em>Another way to do this would be to use the distance formula to find the three side lengths and see if the Pythagorean Theorem applies.</em>