Exercise #2: In the following diagram of right triangle AABC , the altitude has been drawn from vertex C to the hypotenuse АВ , creating two additional right triangles, AACD and ACBD . (a) Why can you argue that AABC ~ AACD ? Likewise AABC ~ ACBD ? (b) Based on (a), why can you argue that AACD ~ ACBD ? B (c) Draw the two smaller triangles in the same orientation as AABC . (d) If AD=8 and BD=2 then find the length of CD and BC . Express all answers in simplest form.

Q: Let A (-23, 12), B (13,36), and C (23,-1) be vertices of a triangle. Where will the medians of this…

A: Given: vertices of the triangle              A=-23,12 , B=13,36 , C=23,-1To find: to find the co…

Q: Find the area of triangle with (1,-1,-2), (-2,0,-1) and (0,-2,1) as vertices?

A: Given: 1,-1,-2, -2,0,-1  and 0,-2,1

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: let A=(2,1) B=(0, sqrt(5)) and C= (0,1) show that the sum of the hyperbolic angles of triangle ABC…

A: Given - let A=(2,1) B=(0, sqrt(5)) and C= (0,1) To show - Show that the sum of the hyperbolic angles…

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: 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: Is the triangle with the vertices M(-2,5), N(12,3), Q(10,-11) a right triangle?

A: Solved below

Q: Can you help me better understand the properties of a special parallelogram

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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: Determine the area of the triangle with vertices (9, 1, 6), (9, 1, 7), and (12, 1, 7).

A: Let the given vertices be A=9,1,6, B=9,1,7, C=12,1,7. Find the area of the triangle. The formula to…

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

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Q: The points P(-1,0, 4), Q(1, 2, 4) and (0, -1, 3) are vertices of a right triangle.

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Q: Which kind of symmetry do all of these figures have?

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.