Let a triangular region be partitioned into two triangular regions by segment through a vertex. Show the figure by partitioning the triangular region into two triangular regions, then Compare the defect of the original triangle with the defects of the two smaller triangles formed.

Q: What is the area of the parallelogram with points given by (21,21, 19), (21, 27, 19), (21,21, 31)?…

A: Draw the diagram according to the given condition.

Q: How do I prove or disprove that an altitude divides a triangle into two equal areas?

A:

Q: What does it mean for two segments to be congruent?

A: What does it mean for two segments to be congruent?

Q: a right clinder is cut parallel to its base. what is  the shape of the two dimensionals cross…

A: It is given in the question that the right circular cylinder is cut parallel to its base.

Q: Find the area of the triangle with vertices (0, 0, 0), (-2, -3, -3), and (-2,-2,-5). A =

A: Let,     Then,

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: 4. Show that the two internal bisectors and one external bisector of the angles of a triangle meet…

A: Given:

Q: Which three dimensional figures when sliced by a plane cannot have a cross section that is a square?

A: When a rectangular pyramid is sliced by a plane then the obtained section will not be square.

Q: Find the area of a rhombus if one diagonal has length 10 and a side has length 13.

A:

Q: A campground owner plans to enclose a rectangular field adjacent to a river. The owner wants the…

A: Consider a rectangular field adjacent to a river where a campground owner plans to enclose the field…

Q: 2. The x- and y-axes divide the coordinate plane into four regions called

A: Given: The x and y axes divide the coordinate plane into four regions

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

A:

Q: 7. Escher was an artist who accidentally incorporated non-Euclidian geometry into his work. True or…

A: THE STATEMENT IS ABSOLUTELY TRUE M C ESCHER WAS A DUTCH ARTIST AND HE MANAGED TO REPRESENT MANY…

Q: 4. Find the area of the parallelogram with the points A(2,5, 6), B(4,8, 10), C(11, 7, 9) and D(9,4,…

A:

Q: Your job is to determine the coordinates of the remaining corners of the building; the side length…

A: given , Cube with A ,B ,C ,D are top vertex and A' ,B' , C' ,D' are the Down vertex that are touches…

Q: 2 Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 3î +2j-7k…

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: To Determine the value that 46 is congruent to IN modulo 7

A: Note that, If a and b are integers and n > 0, then a ≡ b (mod n) to mean n|(b − a) and It can be…

Q: A circle has center at the intersection of the two lines, 4x + y = 4 and x - y= 6.  If it passes…

A: two lines are system Ax=b is

Q: 4. Find the area of portion of the sphere x²+y²+z = 9 between the planes z = 1 and 2 = 0. Draw the…

A: Surface area of a surface z=f(x,y)  A=∫∫D1+fx2+fy2dA Here D is a point on xy plane

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

A: We will solve the problem.

Q: A triangle is formed by the positive coordinate axes and a straight line through (6,3) . How large…

A:

Q: Find the image of triangle ABC for the dilation with center P and scale factor 1/4.

A: When two triangles are similar, the reduced ratio of any two corresponding sides is called the…

Q: 1. The center and radius of the given circle (x-3)+(y+8)-39 are: %3D A) (3,-8), r 39 B) (-3,-8),…

A: We have to find the center and radius of the given equation of circle: x-32+y+82=39 We know that if…

Q: (a) Find the area of the parallelogram with edges v(3,2) and w= = (1, 4).

A: