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: 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: 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: 04: Does the triangle in 3-space with vertices (-1, 2, 3), (2, -2, 0), and (3, 1,-4) have an obtuse…

A: We have to check

Q: ABC has vertices A=(−4,−4,0), B=(−2,−1,x), and C=(−9,−8,4). Find the value for x which yields a…

A:

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

A:

Q: 2. Determine what type of triangle does the vertices P, (1, 3) P2(4,0), and P3(-3,-7).

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: Consider the triangle with vertices P= (2;4,4), Q=(-1,4,7), and R =(5,2,9). Find the leughts of the…

A:

Q: What are the coordinates of the vertices of the triangle after the translation 2 units up?

A: For the translation 2 units up. The points on the graph change by  (x,y) goes to (x,y+2).

Q: A = (1, 2, 8), B = (8, 1, 8), and C = (-1,-1, −8)

A:

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: 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: 8. Triangle MNP with vertices M-6, -8). M-1, -6). and P(-2, -8): y=-5 M: P': N':

A:

Q: 9) Use the coordinate plane to the right if needed to find the length of AB if A(-3, -2) and B(4,…

A: We will use the Pythagoras theorem to find the required length

Q: 4. Find the area of the triangle with the vertices: (1,2), (1,5), and (3,2).

A:

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

A:

Q: Let A(1,3), B(3,1) and C(0, -2) be the vertices of a triangle ABC. Plot the vertices B, C, compute…

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:

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.