Given the image below find the length of a leg 3√2 A 45° O 6√2 O 1.5√2 03 1.5 O 3√2 09 O 9√/2 06 C B C

Q: Prove that there does not exist a Pythagorean triangle whose length of the hypotenuse and length of…

A: The objective is to prove that there does not exist a right triangle whose hypotenuse and one of its…

Q: Show that the triangle whose vertices are A(3, 6), B( - 6, 4), and C(1, - 2) is an isosceles…

A: to show that triangle is isosceles.

Q: 3. Find the perimeter of a right angled triangle with sides a = ₁ √3 cm and b = the hypotenuse. 2√3…

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Q: A. Find the Center and Radius of a circle by completing the Square. 1) 6x² + 6y² + 36x - 48y = 0 2)…

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Q: what are the possible dimensions of their largest rug?

A: The length of the smaller rug = l = 3 feetThe breadth of of the smaller rectangle = b = 2 feetLet…

Q: Ellen is drawing two polygons. One of the polygons has three more angles than the other. What shapes…

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Q: Noah says, "I constructed 2 perpendicular bisectors of triangle ABC. That means the point where they…

A: Work done by Noah to find circumcenter is sufficient and there is no need to draw third…

Q: 4. Tell me everything that you can about the sides and angles of a regular octagon.

A: Solution: When an octagon has all equal sides and equal angles, then it is defined as a regular…

Q: Example 4: Can a triangle be formed with sides of length 8, 5 and 13?

A: From the triangle inequality:   a+b>ca+c>bb+c>a   If these inequalities are satisfying…

Q: 4. mYU 108 mXW MXVW M, mYWU

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Q: 1. Solve this problem on your own by deciding, Which of the following rectangles are similar? Effort…

A: For rectangles to be similar:The ratio of their length to width must be prooprtional. Taking the…

Q: Triangulate the polygon in figure 1 and find the total number of triangles.

A: Note :Since you have posted multiple questions, we will provide the solution only to the first…

Q: I will determine if the three given sides make a triangle the three given length of 4 inches, 5…

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Q: Show that a right triangle is formed by points ?(3,1,-1), ?(5,3,6), and ?(3,-5,0). If it does not…

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Q: 4. The hypotenuse of an isosceles right triangle is 12V2. Find the lengths of the other sides.

A: On solving this we will get

Q: 8 9. Side lengths: 11, 11, 15 Side lengths: 8, 14, 20 What type of triangle is formed

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Q: Mary is making a decorative yard space with dimensions as shaded in green (AOAB). Mary would like to…

A: Mary claims that the area of the green shaded space is 28 sq. meters. To verify this claim, we are…

Q: hyperbolic geometry, why would the fourth angle of a parallelogram with 3 right angles be acute and…

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Q: What is the application of geometry in real life?

A: Aapplication of geometry in real life

Q: 2. Draw an isosceles right triangle.

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Q: 10. Use the Pythagoras theorem to find the missing lengths of the following triangles. The theorem…

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Q: 2. Reflect on and relate coordinate and direct proofs of some geometric theorems. Try to construct…

A: The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the…

Q: . Show that a triangle with vertices (1, 4), riangle. Find its area.

A: We will solve the problem.

Q: Circumscribe a taxicab circle about triangle ABC where A = (4, 0), B = (1, 8), and C = (-6, -2). Do…

A: Given, A(4,0) , B(1.8) and C(-6,-2) Consider the circumscribe a taxicab circle about triangle ABC,

Q: 11. Determine if the statement is true or false. "A kite is a parallelogram"

A: Given the statement, "A kite is a parallelogram"