Construct an equilateral triangle and its three altitudes. What does intuition tell you about the three medians, the three angle bisectors, and the three perpendicular bisectors of the sides of that triangle?

Q: Find the measures of the angles between the diago-nals of the rectangle whose vertices are A = (1,…

A: The given vertices of the rectangle is A = (1,0), B = (0,3), C = (3,4), and D = (4,1).Use the given…

Q: The sides of a triangular lot measure 80m,90m,and 100m. What is the measure of the angle formed…

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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(1,-2). 4.

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Q: Classify the following triangle by its angles and sides. 26° 4.5 2.5 128° 26° 2.5

A: For the given triangle, the sides of the triangle are given as, 2.5, 2.5 and 4.5. The two sides of…

Q: Draw two triangles ABC and A'B'C' on different planes such that the two triangles are perspective…

A: We need to draw two triangles such that the two triangles are perspective from a line and from a…

Q: The median of an isosceles triangle is also a perpendicular bisector. O True O False

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Q: Find the smallest angle (in degrees) of a triangle whose sides have lengths of 2√2, 2√3, and √6+√2.

A: We have to find the smallest angle.

Q: Can the sides of a triangle have lengths of 7.8, 0.2, and 7.3? If so, what kind of triangle is it?…

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Q: Find the measures of the parts of the right triangle that are not given.

A: Given,            A right triangle BCA is given below :

Q: Consider a triangle whose shortest sides have lengths 9 and 12. The longest side of the triangle has…

A: As per question given triangle is right angle triangle  Longest side of right angle  triangle is…

Q: Consider the points P = (8,6, −8), Q = (8, 0, 8), R = (0, 6, 8) to be vertices of a triangle. What…

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Q: Find the lengths of the sides of the triangle with the indicated vertices (4, −1, −1), (2, 0, −4),…

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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: What is the measure of the missing angle in the given right triangle?

A: Given:

Q: Find the measure of the three missing angles in the parallelogram below.

A: We can find the missing angles as below.

Q: How many triangles exist in the geometry in which all three sides are lines of the geometry?

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Q: By calculating the lengths of its sides, show that the triangle with vertices at the points A(1, 2),…

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Q: An equilateral triangle has sides of length 20. To the nearest tenth, what is the height of the…

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Q: a) What is the general name of the point of concurrence for the three perpendicular bisectors of the…

A: The perpendicular bisector of the side of a triangle is the line perpendicular to the side and…

Q: A parallelogram is a quadrilateral with two pairs of opposite sides equal that form right angles. O…

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Q: For the four-line geometry. a. How many triangles exist in the geometry in which all three sides are…

A: We have to find the number of triangles exist in a four point geometry.

Q: Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C =…

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Q: What is the measure of one interior angle of a regular 20-gon?

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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: The given three vertices of a triangle are A(-1,0), B(2,1) and C(1,-2). Now, considering the sides…

Q: Find the lengths of the sides of the triangle with the indicated vertices           (3, 4, 1), (0,…

A: Let A3,4,1, B0,6,2 and C3,5,6 be the vertices of the vertices of the triangle ∆ABC. Substitute 3 for…

Q: Find the lengths of the sides of the triangle with the indicated vertices        (−1, 0, −2), (−1,…

A: We know the formula for distance between two points x1,y1,z1 and x2,y2,z2 is x2-x12+y2-y12+z2-z12 We…

Q: In what type of triangle bisectors of sides, altitudes, and medians the same? are the angle…

A: In case of equilateral triangles, the angle bisectors, perpendicular bisectors of sides, altitudes…

Q: Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths 11,…

A: Given: A triangle whose sides are of lengths 11, 60, and 61.

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.

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

Q: e) If you draw two different rectangles with the same angle between the diagonal and the shortest…

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

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Q: This figure shows parallel stair railings through points M, N, P, and Q. 610

A: the figure is given, the figure shows parallel stair railings through points M,N,P, and Q. label the…

Q: . Determine if AABC is a right-angled triangle, given A(1, 6, −2), B(2, 5, 3), and C(5, 3, 2).

A: Find the squares of all the sides of the triangle and then observe them

Q: Is there some kind of triangle such that the perpendicular bisector of eachside is also an angle…

A: In a triangle, The perpendicular bisector of each side is a line that is perpendicular to the side…

Q: Find the measures of the numbered angles in the rhombus. 28°

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Q: Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, –1), B = (4, 5, 1), C =…

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Q: Find the lengths of the sides of the triangle with the indicated vertices (0, 0, 4), (2, 6, 7), (6,…

A: we have been given the vertices of the triangle (0, 0, 4), (2, 6, 7), (6, 4, −8). we have to…

Q: given the length of the medians of triangle 18.03 cm, 21.36 cm, 12.5 cm long. Determine the longest…

A: This question can be solved using the relation between length of median and length of sides of…

Q: The triangles are Z,

A: Given,           The two triangle are similar.

Q: Suppose that ABCD is a square, and that CDP is an equilateral triangle with P outside the square.…

A: Let We have to draw a house (a square with a triangle on top). Construct in a way that., 1) Point D…

Q: Prove that if a point is contained in two angles of a triangle, then it is contained in the interior…

A: In a triangle, any two angles are adjacent (i.e, sharing a common hand)

Q: Construct a right triangle that has acute angle A and hypotenuse of length c.

A: Construct a right triangle that has acute angle A and hypotenuse of length c. From the given data…

Q: Are the two triangles not drawn to scale similar? If so explain why they are.

A: Check similar or not

Q: Does a scalene triangle have line symmetry?

A: A scalene triangle is a triangle in which all three sides are in different lengths, and all three…

Q: AABC is an isosceles right triangle with hypotenuse AC of length 2V2. If medians AD and BE intersect…

A: Since ∆ABC is an isoscles right triangle with hypotenuse AC of length 22 if median AD and BE…

Q: What is the sum of the exterior angles of the given polygon?

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Q: Given an acute-angled triangle ABC, construct a square with one side lying on BC while the other two…

A: Image is attached with detailed explanation.

Q: show that the base angles of an isosceles triangle are equal

A: Consider an isosceles triangle ABC with AB=AC. Then prove

Q: verify that △DEF is a right angle triangle given that D(2,14), E(8,4), and C(18,10)

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