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What is the area of triangle ABC whose vertices are at -3 7 and 2 19 and 10 7 respectively on the Cartesian plane showing work?
The points (-3, 7) and (10, 7) lie on the same horizontal line as the y-coordinates are the same), therefore it is best to take this as the base of the triangle; it is 10 - -3 = 10 + 3 = 13 units long.
The third point (2, 19) is 19 - 7 = 12 units above this line which is the height of the triangle.
Thus the area is ½ × base × height = ½ × 13 units × 12 units = 78 square units.
Another possible answer:-
Distance formula: square root of (x2 -x1) together with +(y2 -y1)
Using the distance formula for the given vertices it works out that it is an isosceles triangle with equal sides of 13, a base of 4 Times Square root of 13 and a height of 3 times square root of 13.
Therefore area is: 0.5*4 times sq rt 13*3 times sq rt 13 = 78 square units
Checking using Pythagoras' theorem will confirm that it is an isosceles triangle.
What else can I help you with?
What is the area and type of shape that has vertices of 0 0 and 3 4 and 6 0 on the Cartesian plane showing work?
Vertices or points: (0, 0) (3, 4) and (6,0) Type of shape: an isosceles triangle Base: 6 units Height: 4 units Area: 0.5*6*4 = 12 square units
What is the equation of a circle that passes through the points of 5 5 and 8 5 and 5 1 on the Cartesian plane showing work?
The points will form a right angle triangle in a circle whose hypotenuse is its diameterLength from (8, 5) to (5, 1) = 5Midpoint: (6.5, 3) which is the centre of the circleRadius: 2.5Equation of the circle: (x-6.5)^2+(y-3)^2 = 6.25
What is the point of contact when y equals 5x meets y equals 3 -x on the Cartesian plane showing work?
If: y = 5x and y = 3 -x Then: 5x = 3 -x => 5x +x = 3 => 6x = 3 => x = 1/2 By substitution point of contact is at: (1/2, 5/2)
Classification of triangle according to sides?
Oh, dude, you're talking about triangles now? Alright, so, like, triangles can be classified based on their sides - you've got equilateral triangles (all sides are equal), isosceles triangles (two sides are equal), and scalene triangles (all sides are different lengths). It's like a little triangle party with different sides showing up!
What is the equation of a circle whose endpoints of its diameter are at 2 2 and 10 -4 on the Cartesian plane showing work?
Endpoints: (2, 2) and (10, -4) Midpoint: (6, -1) which is the centre of the circle Distance from (6, -1) to (2, 2) or (10, -4) = 5 which is the radius of the circle Therefore equation of the circle: (x-6)^2 + (y+1)^2 = 25
What is the area and type of shape that has vertices of 0 0 and 3 4 and 6 0 on the Cartesian plane showing work?
Vertices or points: (0, 0) (3, 4) and (6,0) Type of shape: an isosceles triangle Base: 6 units Height: 4 units Area: 0.5*6*4 = 12 square units
What is an adjacency matrix?
An adjacency matrix is a matrix showing which vertices of a graph are adjacent to which other vertices.
What is the size of angle Q when the triangle PQR has vertices of 5 9 and 14 -3 and 2 3 repectively showing work?
The given vertices works out as a right angle triangle when plotted on the Cartesian plane and using the distance formula its dimensions with respect to Q are:- Hypotenuse: 15 Adjacent: 6 times square root of 5 Opposite: 3 times square root of 5 Using any of the 3 trigonometry ratios angle Q works out as in the following:- sin-1(opp/hyp) = 26.6 degrees to 3 significant figures tan-1(opp/adj) = 26.6 degrees rounded to 1 decimal place cos-1(adj/hyp) = 26.6 degrees to the nearest tenth
Why when the US flag is folded what shape is it?
it should be a triangle with no red showing
What is the area of triangle A B C whose coordinates are -3 7 and 2 19 and 10 7 respectively showing work?
Plotting the coordinates it is an isosceles triangle with equal sides of 13 and a base of 4*sq rt of 13 with a height of 3*sq rt of 13 Area = 0.5*(4*sq rt of 13)*(3*sq rt of 13) = 78 square units
What is the proof showing that the heights of a triangle are concurrent?
There cannot be a proof because the statement need not be true.
What physical creatures do the illuminati have?
the illuminati shows a giant triangle on a pyramid showing only one eye
What is the equation of a circle that passes through the points of 5 5 and 8 5 and 5 1 on the Cartesian plane showing work?
The points will form a right angle triangle in a circle whose hypotenuse is its diameterLength from (8, 5) to (5, 1) = 5Midpoint: (6.5, 3) which is the centre of the circleRadius: 2.5Equation of the circle: (x-6.5)^2+(y-3)^2 = 6.25
Why pythagoras is applicable in right angled triangle?
I won't explain it in depth but the simple answer is because if you take and identical right triangle then you can arrange them to make a rectangle. I've attached a link to an animation showing it rearranging a triangle to show the relationship.
What is the area of the triangle formed by the line 3x -7y plus 4 equals 0 and the axes on the Cartesian plane showing work?
Suppose the line meets the x and y axes at A and B (respectively). Then at A, x = 0 =-> -7y + 4 = 0 so y = 4/7. Therefore A = (0, 4/7) => |OA| = 4/7, and at B, y = 0 => 3x + 4 = 0 so x = -4/3. Therefore B = (-4/3, 0) => |OB| = 4/3. AOB is a right angled triangle with the right angle at O. Therefore area AOB = 1/2*|OA|*|OB| = 1/2*4/7*4/3 = 8/21 square units.
What is the plot of The Battle of the Labyrinth?
Love triangle, Annabeth's showing her jealous side, saving the world once again and the end.
What is the largest angle of a triangle with sides of 5.8cm by 14.1cm by 8.3cm showing work?
Such a triangle would be impossible to construct with the given 3 dimensions because in order to construct a triangle the sum of its 2 shortest sides must be greater than the length of its longest side.
