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

Q: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

A:

Q: What is the area of the triangle with vertices given by (22, 12, 21), (22, 16, 21), Area =

A: Topic -Area of triangle We are given, vertices of triangle as (22,12,21),(22,16,21),(22,12,29)We kow…

Q: 7. Find the area of the triangle with vertices A(-4,1,3) and B(1,0,3), and C(1,3,4).

A: The vertices of triangle ABC are given as A(-4,1,3),B(1,0,3) and C(1,3,4).

Q: 41. (2,3), (4, 9), and (-2,7) are vertices of an isosceles triangle.

A:

Q: 3) 9ry dA, R is the triangle with vertices (0,0), (0,3) and (4, 3)

A: Given integral to evaluate ∫∫R9xydA R is triangle with vertices 0,0,0,3,4,3 The triangle will be

Q: the coordinates of the image. 8. Square PQRS with vertices P(-5, 4), Q(2,8), R(6, 1), and S(-1, -3):…

A:

Q: A camera is located at the point (2, 4). The camera can rotate 360 degrees so can see in However,…

A: (a) To determine if the point (4.5,3) is inside the triangle with corners at (3,1), (4,5), and…

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

A:

Q: 5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a)…

A:

Q: 2) The vertices of quadrilateral RYAN are R(2-2), Y(4,5), A(-6,4), and N(-8,–2). Use coordinate…

A:

Q: 5) x2 (y - 6 ) 2 64 121 + - = 1

A: we will find the required.

Q: 6) Consider the three points in the plane given by their coordinates: A = (0,0) B=(2,2) C=(3,5).…

A: I have explained everything with in the solution. Please go through that

Q: Triangle ABC has vertices at (-4,0), (-1,6) and (3,-1). What is the perimeter of triangle ABC,…

A:

Q: 27. Let ABC be a triangle with vertices A = (-3,0), B = (0, 6), C = (3, 0). Let P be a point on the…

A:

Q: 6. Convert the rectangular coordinate (2, -2, 5) to (p, 0, p).

A: To conveert the rectangular coordinates  to sphericalcoordinates .

Q: 44. An isosceles triangle has vertices at (1, 1) and (3, 3). Which of the following could be the…

A: Please refer to the image below.

Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0)…

A: As per the question we are given the following 3d coordinates of a triangle as : v1 = (-2, 3, 6) v2…

Q: The vertices of triangle ABC are ( 0,2) , ( 3,5) & (2,-2) . Find its perimeter and area.  2. The…

A:

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

A: We will solve the problem.

Q: 38. A rectangle with sides parallel to the axes has vertices at (3, - 2) and (-4, – 7). a) Find the…

A: Explanation of the answer is as follows

Q: 4) The coordinates of the vertices of triangle SUE are S(-2,-4, Y(2,-1), and E(8,-9). Using…

A:

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

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

Q: 6. Translate each vertex 4 units to the right and 2 units down. Join the new vertices to draw the…

A: For graph (a).

Q: 30. These points are the vertices of a triangle: (-4,3), (2, 2) and (3,-2). Graph these points and…

A: The given points are the vertices of a triangle: and .The aim is to graph these points and reflect…

Q: The points A(8, 3, 2); B(4,-1,2) and C(0, 3, 2) formed what kind of triangle? (isosceles, right…

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.