Using distance formula, show that the points (2, -1), (0, 1) and (2, 3) are the vertices of a right-angled triangle.

Q: Sketch the points B = (-5, 0) and C= (-3, 3).

A: Given data: The first point given is B=(-5,0). The second point given is C=(-3, 3). The sketch of…

Q: Do the three points (1,−2), (2,4), and (−3,5) form a right triangle?

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Q: Find the distance from the point (9, 7, 4) to the origin.

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Q: Verify that the points (0, 3), (2, -3), and (-4, -5) are vertices of an isosceles triangle.

A: Length of the side joining the points (0, 3) and (2, -3) is: l1=0-22+3+32=4+36=40=210 Length of the…

Q: find if the points (1, 2,0), (-2, 1, 1), and (0, 3, –1) form a right triangle, Explain vour answer.

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Q: The points P(-1,0, 4), Q(1, 2, 4) and (0, -1, 3) are vertices of a right triangle.

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Q: Check whether the points (0,7,-10), (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

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Q: The vertices of a triangle have coordinates (6,8), (-9,14), determine if the triangle is a right…

A: The vertices of a triangle have coordinates (6,8), (-9,14)

Q: 8. The point (1, -3) be a point on the terminal side 0, Find each of the six trigonometric functions…

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Q: Show that the triangle whose vertices are A(-2, -3), B(4, 5), and C(-4, 1) is a right triangle.

A: Given:A-2,-3B4,5C-4,1Right triangle:AC2 =AB2+BC2

Q: (-4, - 3), (8, 7). What is the area of a triangle whose vertices are and (8, - 3)?

A: The area of the triangle with the vertices at (x1,y1), (x2,y2) and (x3,y3) is given by the following…

Q: Determine whether (-7,4), (6, -2), (0, -15) are the vertices of a right triangle.

A: The vertices of the triangle are  A-7,4 B6,-2 and  C0,-15 To evaluate : Whether the vertices are of…

Q: Show that the points A(-4,9,6) ,B(-1,6,6) and C (0,7,10) from the right angled isoseles triangle

A: Use the equation D=(x2-x1)2+(y2-y1)2+(z2-z1)2 to calculate the magnitude of side AB.…

Q: Find the coordinates of the circumcenter of the triangle whose vertices are A(5, -1), B(-1, 5), and…

A: We have to find the coordinates of the circumcenter of the triangle whose vertices are A(5, -1),…

Q: plot the points (5, 3) and (2, -3) in the coordinate plane and find the lengths of the three…

A: GIVEN DATA : Points 5,3 2,-3        TO FIND: Plot the points and find the length of three segments…