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The triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
The given coordinates are X(6,1) Y(-2,-3) Z(0,3).
<h3>What are coordinates?</h3>A coordinate system is a system in geometry that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold, such as Euclidean space, in a unique way.
We know that, Distance formula
Now, units
units
units
Here,
Hence, the triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
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128
This question requires us to solve an infinite GP
As we can see the first unit is 16 wide, then 8, then 4 and so on; this can be written as
∞
(64 used as 16*4 = 64 is the area of the first rectangle)
We have ∞
where a is the first term and r is the common ratio of the GP for summing an infinite GP.
here we have
Therefore
∞
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