Use the converse of the Pythagorean Theorem to show thata triangle whose sides are of lengths 11, 60, and 61 is a righttriangle. (pp. A14–A15)

Q: Show that the points (a,a),(-a,-a) and (-V3a, v3a) are the За vertice of an equilateral triangle.…

A: Given the co-ordinate of a triangle Let A=(a,a)B=(−a,−a)C=(−3a,3a)

Q: Which theorem or postulate proves the two triangles are similar? The picture is not drawn to scale

A: Similar triangles can be found using three theorems:  AA SAS SSS

Q: theorems we learr H R 10 6 4.8 8

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Q: The ____ of a triangle intersect in a point that is equidistant from the sides of the triangle.

A: The triangle is a polygon with three edges and three vertices. It is one of the basic shapes in…

Q: 6. 10

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Q: . If M is the midpoint of the hypotenuse AB of right triangle ABC, andAM = 6, find MB and MC.

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Q: Geometry Stanley's rectangular bedroom is 6 meters by 5 meters. What is the diagonal distance from…

A: Rectangle problem

Q: Consider the triangle formed by these three points: (0, 11), (4, 2) and (9, 7). a. Is the triangle…

A: Given a triangle is formed with three points(0,11) ,(4,2) ,(9,7)

Q: 1. State and prove the full version of the Pythagorean Theorem

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Q: Let AABC be an isosceles right triangle with hypotenuse AC. Find mLA, mZB, and m/C. mLA = mZB = mLC…

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Q: Show that the points (a, a).(-a,-a) and (-3a, 3a) are the vertice of an equilateral triangle.Also,…

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Q: AJAM is a right triangle. a. Is JM an altitude of AJAM? b. Name another altitude shown. c. In what…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Find the angles of the triangle whose sides are x+y -4 = 0, 2x+y-6=0 and 5x+3y - 15 = 0.

A: Lines:x+y-4=0⇒y=4-x                      (1)2x+y-6=0⇒y=6-2x                  (2)5x+3y-15=0⇒y=153-53x…

Q: In triangle ABC. AB = 7 and BC = 7 . Write the theorem that allows you to conclude that B is on the…

A: Consider the triangle ABC with AB=7 and BC=7. Since AB=BC=7, So the triangle ABC would be an…

Q: Write the Pythagorean theorem for a right triangle with the lengths of the legs given by a and b and…

A: Statement: Let a right angled triangle ABC, where B is right angled and we have to prove:

Q: A diagonal of a parallelogram bisects one of its angles. Which specialkind of parallelogram must it…

A: A parallelogram is a quadrilateral in which, the diagonals divide themselves into two equal segments…

Q: Solving a Linear System Solve the system of linear equations. 4x - 3y + z = -8 y - 3z = -4 x - y +…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider a right triangle ABC with the right angle being BAC. Draw a line from vertex A to the…

A: our objective is to prove.

Q: Which triangle below is not congruent to the other three triangles?

A: Which triangle below is not congruent to the other three triangles?

Q: Classify the triangle with vertices A(2,1), B(4,5) and C(6,1) as isosceles or equilateral. Use…

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