Suppose we have triangle ABC; let M be the midpoint of segment AB. Prove that triangle ABC is a right triangle if and only if M is equidistant from all three vertices, A,B,C

Q: Consider the triangle with vertices in the points D(-5,0,5), E(2, 1,3), and C(3, 1,4). Compute the…

A: Vertices of triangle D(-5, 0,5) , E(2, 1,3) and C(3, 1,4) . We have to compute the area of triangle…

Q: Consider the triangle AABC Where Ã= 0 B= and C= 1 Find the coordinates of the vertices of the dual…

A: Consider the triangle ∆ ABC and

Q: 1. Given the vertices A(1,0,1), B(0,2,3) ve C(2,1,0) of a triangle. Find the area of the triangle.

A: Given vertices: We have to find the area of the triangle.

Q: (2, 5), (9, –7) and (9, 5) Determine whether or not the given points form a right triangle. If the…

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Q: Consider the triangle ABC where A(1,3,5), B(-2,1,0), and C(0,1,-1). Find the angle ∠A, ∠B, and ∠C.

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Q: If D is the triangle with vertices (0,0), (40,0), (40,25), then dA=

A: The triangle D is with the vertices (0,0), (40,0) & (40,25). The line passing through (0,0) and…

Q: Consider the triangle with vertices P= (2;4,4), Q=(-1,4,7), and R =(5,2,9). Find the leughts of the…

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Q: The vertices of AWIN are W(2, 1), I(4, 7), and N(8, 3). Using coordinate geometry, show AWIN is an…

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Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

Q: Evaluate y dA, where D is the triangle D with vertices (1, 1), (2, 1), and (0, 2). Select one: 2 a.…

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Q: Show that a triangle with vertices at A(−1, 2), B(4, 1), and C(5, 6) is isosceles. Distance from…

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Q: Triangle ABC has vertices with A(x,3), B(-3,-1), and C(-1,-4). Determine and state a value ofx that…

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Q: Let A(1,3), B(3,1) and C(0, -2) be the vertices of a triangle ABC. Plot the vertices B, C, compute…

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Q: Consider a triangle with vertices X, Y, and Z.

A: Definition used -              Triangle law of vector addition -                  According to…

Q: Geometry Question

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Q: Is the triangle ABC with vertices A(3, 2, -1), B(6.3.0) and C(-3, 1, 4) acute, right or obtuse? Note…

A: Given :A3,2,-1B6,3,0C-3,1,4

Q: Find the lengths of the sides of the triangle given by the points P(2, –1,0) and Q(4,1,1) and R(4,…

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Q: :Do the points A(3,2),B(-2.-3) and C (2,3) from a triangle ? If so, name the type of triangle…

A: Use dot product to find angle A.