The centroid of a triangle lies at the intersection of the triangle's medians, because it lies one-third of the way from each side towards the opposite vertex. Use this result to find the centroid of the triangle whose vertices appear as following. (-10, 0), (10, 0), (0, 7) A) (0,–) D) (0, 플) B) (0, 7)

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: Consider the shape with vertices (1,3),(4,7),(0,10),(-3,5) translate the rectangle so (1,3) lies on…

A: We need to transform the coordinates.

Q: Show that the points (5,4,2) ,(6,2,-1) and (8,-2,-7) are collinear

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Q: Find the area of the hyperbolic (geodesic) triangle with vertices (3,0), (4,0) and (5,0).

A: Let P(3,0), Q(4,0) and R(5,0) be three vertices.  It is known that the equation of hyperbolic line…

Q: find the area of the triangle formed by the points (8.-5).(-2.-7) and (5.1) by using Herones…

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Q: If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates…

A: On solving this we will get:-

Q: What are the coordinates of the top point of an equilateral triangle if the corners of its base are…

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Q: If A = ( - 1, 2) and B = (3, 4), find AB and redraw it (a) in standard position and(b) with its tail…

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Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…

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 point that is symmetric to (2,4)

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Q: You are at the point (3,2,3)(3,2,3), standing upright and facing the xzxz-plane. You walk 4 units…

A: Given: You are at the point (3, 2, 3 ), standing upright and facing the xz-plane. You walk 4 units…