find the length of the side of triangle ABC and determine the type of the resulting triangle. A(1,4,-2),B(3,5,2),C(4,9,10)|

Q: Triangle ABC has vertices as shown. A(1, 4) B(4, 1) C(-3, 0), -2 4 -2 -4 What is the area of the…

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Q: 3. Consider the triangle with vertices A(3,–1), B(-2,4), and C(-3,–3). What is the interior angle at…

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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: The coordinate of the vertices of a triangle are D(5,6), E(7,5), and F(4,3) Find the perimeter of…

A: We have to find the perimeter by the rule of finding distance between two points.

Q: In the triangle, M, N, and P are midpoints of the sides. Name a side of the triangle parallel to the…

A: If the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is…

Q: Find the coordinate of the circumcenter

A: We have to find the coordinates of the circumcentre.

Q: Consider triangle △ABC in the plane where A=(−4,−3) B=(−1,−32) C=(3,−4) Find the lengths of 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: 2. Consider the three points A = (-5, 3), B = (6, 0), and C = (5, 5). (a) Plot each point and form…

A: Use distance between two point formula

Q: 7. Draw the triangle formed by the vertices A(2, 3), B(7, 0), and C(7, 8). Then find the coordinates…

A: Solution:let A(2,3), B(7,0)and C(7,8)formulaslope=y2-y1x2-x1y-y1=m(x-x1)slope of a perpendicular…

Q: 4. Find the area of the triangle with the vertices A(2, –3,4), B(0,1, 2), and C(-1,2,0) then find…

A: Given: The vertices of a triangle are A2, -3, 4, B0, 1, 2, and C-1, 2, 0. The area of a triangle…

Q: a

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Q: Find the lengths of the sides of the triangle with the vertices A(2, –1,4), В(-1,2, 7), and C (5, 2,…

A: Plot a rough figure using the given point

Q: For the given points​ A, B, and C find the area of the triangle with vertices​ A, B, and C.…

A: The explanation of the given solution as:

Q: For the given points​ A, B, and C find the area of the triangle with vertices​ A, B, and C.…

A: Solve the given problem.

Q: Given: Triangle PQR Construct: The three angle bisectorsWhat did you discover about the three angle…

A: Refer  to the question,As provided the triangle PQR is obtuse angle triangle as one of its angle is…

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

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Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. P(1,…

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Q: In the triangle ABC, ∠C= 55°, b= 6 and c= 5. State whether the given triangle exists or not

A: We will find ∠B using the law of sine.…

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A: To find the lengths AB,BC,CA

Q: Given the vertices of triangle ABC below, find the midpoint and length of the midsegment.  Give your…

A: To find the midpoint

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A: A detailed solution is given below.

Q: A marching band director draws the triangle shown to represent the band's formation at the beginning…

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Q: The altitude of a triangle is a segment that is perpendicular to one side of the triangle and goes…

A: Topic :-  triangle and it's properties

Q: Name the type of triangle formed by the points A (-5, 6) , B (-4, -2) and C (7, 5)

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Q: he sides of a triangle are given. Is the triangle acute, right, or obtuse?a. 11, 60, 61 b. 7, 9, 11…

A: a) Given, The sides of the triangle are 11,60,61 we know that, If the square of the longest side of…

Q: 1)lf A(1,0,1),B(2,1,0) and C(1,2,2) find the interior angles of the triangle ABC.

A: We need to find the interior angles of the triangle with vertices A(1,0,1),B(2,1,0) and C(1,2,2)

Q: Find the length of each side of the triangle determined by the three points P1 , P2 , and P3 . State…

A: Now , we have given three points of a triangle P1 = (-2, 1) P2 =  (0 , 7)P3  = (3, 2) Sides of the…

Q: Find the three internal angles (in degrees) of the triangle with vertices (3, 1, -2), (5, 2, -1)and…

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Q: 26. Given the points of a triangle; A (3, 5, -1), B (7, 4, 2) and C (-3, -4, -7). Determine the area…

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Q: Find the area of the triangle T with vertices O(0,0,0), P(2,2,3), and Q(5,6,4). (The area of a…

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Q: Find the length of each side of the triangle determined by the three points P1 , P2 , and P3 . State…

A: Here we have to Find the length of each side of the triangle determined by the three points P1…

Q: 6. A triangle has side lengths of 5,12,14. Is this a right triangle? Do the math, then state why or…

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Q: Given the three points A(2,-1,2), B(-1,1,4), C(4,3,-1). Find the area of triangle ABC.

A: Given problem:- Given the three points A(2,-1,2), B(-1,1,4), C(4,3,-1). Find the area of triangle…

Q: The vertices of a triangle are given. classify the triangle as scalene, isosceles, or equilateral.…

A: Distance between two points x1,y1 and x2,y2 is given as D=x2-x12+y2-y12

Q: a) Find the area of the triangle determined by the given point P₁(1, 2, 4), P2(1,-1, 3), P(-1,-1,2)

A: As per Bartleby guideline, only the first question has been answered. Please repost mentioning the…

Q: 2. Triangle ABC has vertices as shown. A(1,4) B(4, 1) C(-3,0) -4 -2 0 4. -2 What is the area of the…

A: Find the side length of triangle than use the Heron's Formula.

Q: Find the lengths of the sides of the triangle with the vertices A(1,2, 3), B(-5,5,0), and C(1, –5,…

A: To find the length of the sides of the triangle:

Q: Find the area of the triangle with vertices P(1, 5, –6), Q(0,0, 0) R(3,5, 1). NOTE: Enter the exact…

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Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

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Q: Determine whether the numbers can represent the side lengths of a triangle. If they can, classify…

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Q: Triangle ABC, with vertices A(-9,-5), B(-4,-6), and C(-5,-2), What is the area, in square units, of…

A: By using area of triangle formula, we calculate the required area.

Q: For the given points A, B, and C find the area of the triangle with vertices A, B, and C. A(3,6,5),…

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Q: The angles of a pentagon are 6x,(2x+20°),(3x-20°),2x and 14x. Find x.

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Q: For the given points A, B, and C find the area of the triangle with vertices A, B, and C. A(7,9,3),…

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Q: Solve the triangle that has sides 4ft, 5ft, and 8f. Draw a picture of the triangle and angles…

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Q: Find the lengths of the sides of the triangle PQR. P(7, 2, 2), Q(5, 4, 3), R(5,-2, 6) |PQI IQR| |RP|…

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Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A: Given A(4,-1,-1), B(2,0,-4), C(3,5,-1)

Q: Triangle ABC with vertices A(0, 7), B(7, 3), and C(1, 4): (x, y) → (x – 3, y – 4) A' (__, B’(__. C'…

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Q: For the given points​ A, B, and C find the area of the triangle with vertices​ A, B, and C.…

A: Given the vertices of triangle A=(6,7,3)B=(7,16,2)C=(5,7,3)