9. Sketch the triangle in the coordinate plane whose vertices are (0,-2), (2, 3). and (4,-2). Find its area. A. 10 sq. units B. 15 sq. units C. 20 sq. units D. 30 sq. units Submit

Q: Consider the triangle with vertices in the points D(-5,0,5), E(2, 1,3), and C(3, 1,4). Compute the…

A: Vertices of triangle D(-5, 0,5) , E(2, 1,3) and C(3, 1,4) . We have to compute the area of triangle…

Q: 10) What type of triangle has coordinates R(-3, 1), S(1, 3), and T(2,-4)? a. Equilateral b.…

A:

Q: Show that the triangle with vertices P(6, ; 7), Q(11, ; 3) and R(2, ; 2) is a right -angled triangle…

A:

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

A:

Q: 7. Construct a right triangle with legs of lengths a and b.

A: Topic:- right angle triangle A triangle in which one of the measures of the angles is 90 degrees is…

Q: If D is the triangle with vertices (0,0), (55,0), (55,49), then dA=

A: double integration

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,-2). 4.

A:

Q: 2) Is a triangle with vertices G(3,2), H(8,5), and K(0,10) a right triangle? Justify

A: Let (x1,y1) and x2,y2 be two point ,then by distance formula distance between this point d =…

Q: Suppose that a circle is to contain the three vertices of a triangle. Relative to the triangle,…

A: Option A

Q: Find the area of the triangle with vertices P(1,3,–4), Q(0, 0,0) and

A:

Q: Find the area of the triangle with vertices P=(1,1,0), Q=(0,2,1) and R=(2,0,0).

A:

Q: A vertical plane intersects the triangular prism. Which best describes the cross section? C

A: Question said that there is a triangular prism which is intersected by a plane and we have choose a…

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: (b) Find the area of a triangle with the points A(1,0, 0), B(0,1,0), C(0,0, 1) as it vertices by…

A: (b) We have to find area of triangle with the points A1,0,0 , B0,1,0 and C0,0,1 by using cross…

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: If D is the triangle with vertices (0,0), (40,0), (40,25), then dA=

A: The triangle D is with the vertices (0,0), (40,0) & (40,25). The line passing through (0,0) and…

Q: Without plotting the points or drawing the figure, find the coordinates of the new vertices of the…

A: given pentagon with vertices at V(3,2), W(5,10), X(6,12), Y(−0.5,1.25), Z(1,0)

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

A: Triangle with vertices P1, -1, 0, Q2, 1, -1 & R-1, 1, 2.…

Q: True or False The triangle with sides of lengths 6, 8, and 10 is a right triangle.

A: Given:AB=6BC=8AC=10Right triangle   We calculate the squares of two low sides and add them

Q: Q.5 Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C…

A: AB = 3, AC = 3, BC = 3√2  The triangle is right-angled triangle with, angle(A) = 90°  The detailed…

Q: Find the perimeter of the triangle with vertices at​ A(0,0), B(−4​,−3​), and C(−5​,0).

A:

Q: What type of quadrilateral has the vertices A(3, 6), B(3,3), C(6, 3),and D(6,6)?* O square O…

A: Correct answar would be option (A).

Q: Is a triange with the verticies A(7,1) B(0,4) and C(-4,-8) a right triangle yes or no?

A:

Q: Find measures of the angles between the diagonals of the rectangle whose vertices are A = (1,0), B =…

A:

Q: Find the lengths of the sides of a triangle, whose vertices are A = (2, 4, -1), B = (4, 5, 1), C =…

A:

Q: Consider a quadrilateral with vertices D(0, 0), J(5, 5), N(8, 4), and G(7, 1). Determine the most…

A: We have to draw the given quadrilateral also find the type.

Q: Consider the triangle with vertices at R(- a, 0), S(a, 0), and T(0, b). Explain why ARST is an…

A: Given:

Q: On a coordinate plane, triangle FGH is formed with the vertices at point F(4, 2), point G(4, 6), and…

A: We have given that F(4, 2), G(4, 6) and H(6, 4).

Q: Show that the triangle with vertices A(2, -3), B(6, -8), and C(-3, -7) is a right triangle by using…

A:

Q: Show that the triangle with vertices A(0, 0), B(1, √2), andC(2, 0) is equilateral.

A: An equilateral triangle is a triangle in which all sides are equal, and consequently, all angles are…

Q: Consider a triangle with vertices A(1,0,0), B and C. Assume that • A : 1 • BC is parallel to the…

A: Given: A triangle with vertices A(1, 0, 0), B and C. BC is parallel to the y-axis and ||AB||=3

Q: 7. Find the measures of the hyperbolic angles of the Euclidean square with vertices (0, 1), (0, 2),…

A:

Q: Determine the area of the triangle with vertices A(1, 2, 3), B(−1, 1, 1) and C(1, 0, 4)

A: area of the triangle

Q: Find the lengths of the sides of the triangle given by the points P(2, –1,0) and Q(4,1,1) and R(4,…

A:

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

A:

Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

A:

Q: Consider the triangle ABC with vertices A(0,2), B(2,0), C(/2, v2) Also, Find the vertices of the…

A: The triangle ABC with vertices A(0,2), B(2,0), C(2,2)The dilating factor of 3 about origin.

Q: 10. What is the midpoint of the longest side of the triangle with vertices A(1, 4), B(3, 4) and C(3,…

A: first we will draw the triangle then find the mid point of the larger side

Q: Find the circumcenter and circum-radius of the triangle whose vertices are (0,0),(8,0) and (0,6).…

A: The given vertices are 0,0,8,0 and 0,6.

Q: Show that the triangle with vertices A(0, 0), B(1, √3), and C(2, 0) is equilateral.

A:

Q: 1. Identify the coordinates of the two points at the ends of the line segment. Then, draw a right…

A: Given plot, To identify coordinates of A nd B. And to draw a triangle on the grid where line…

Q: Name the type of triangle formed by the points A(-5,6) , B(-4,-2) , C(7,5)

A:

Q: Show that the triangle whose vertices are P(2, - 1), Q(-6,- 3), and R(10,7) is isosceles. Find the…

A: Distance between two points A(a, b) & B(c, d) is given by AB=(a-c)2+(b-d)2

Q: Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a…

A: Given that: (1, 5), (6, 10), (0, 16)

Q: Find the area of the triangle with vertices P(1, 6, –2), Q(0,0,0) and R(2,4, 1). - NOTE: Enter the…

A:

Q: B. Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3) 2.…

A: 1. A2,1, B3,-5, C1,-32. P3,0, Q6,4, R-1,3

Q: Prove that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices.…

A: To solve the given problem

Q: Classify the triangle PEN as scalene, isosceles, or equilateral from the given vertices. P(4, 7),…

A: We have been given the coordinates of a triangle  P(4, 7) E(6, 2) N(5, -2)

Q: 1. Find the orthocentre of the triangle with vertices at P(-3, 4), Q(10, -3), and R(3, -2).

A: Ortho center of a triangle is the point where all the altitudes of the triangle meets. That point of…