Simplify: √27x^2y^2 A) 27xy B) 3xy C) 3xy√3 D) xy√27
1 answer:
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Option A: is the third vertex
Option B: is the third vertex.
Explanation:
The two vertices of the right triangle are and
The third vertex of the right triangle can be determined by plotting the points in the graph.
Option A:
By plotting the points ,
and the third vertex
in the graph, the the hypotenuse of the triangle passes through the vertices
and
The legs of the triangle passes through the vertices ,
and
,
Hence, the third vertex forms a right triangle.
Therefore, Option A is the correct answer.
Option B:
By plotting the points ,
and the third vertex
in the graph, the hypotenuse of the triangle passes through the vertices
and
The legs of the triangle passes through the vertices ,
and
,
Hence, the third vertex forms a right triangle.
Therefore, Option B is the correct answer.
Option C:
By plotting the points ,
and the third vertex
in the graph, we can see that the three vertices does not make a right angled triangle.
Hence, the third vertex does not form a right triangle.
Therefore, Option C is not the correct answer.
Option D:
By plotting the points ,
and the third vertex
in the graph, we can see that the three vertices does not make a right angled triangle.
Hence, the third vertex does not form a right triangle.
Therefore, Option D is not the correct answer.