Plot the points A(0,5),B(8,0),C(8,5)and join them. what figure do you ...
Answer:
Figure Obtained:
The figure obtained by joining the points A(0,5),B(8,0),C(8,5) is a right-angled triangle.
Finding the Area:
To find the area of the triangle, we can use the formula:
Area of a triangle = 1/2 × base × height
Here, the base of the triangle is BC, which is 8 units.
The height of the triangle can be found by calculating the perpendicular distance from point A to line BC.
Since the line BC is horizontal, the vertical distance between point A and line BC is the height of the triangle.
The y-coordinate of point A is 5, and the y-coordinate of point C is also 5. Therefore, the height of the triangle is:
Height = AC = |5 - 5| = 0 units
As the height of the triangle is 0 units, the area of the triangle is:
Area = 1/2 × BC × height = 1/2 × 8 × 0 = 0 square units
Explanation:
We are given three points A(0,5), B(8,0), and C(8,5), and we are asked to join them to form a figure. By joining these points, we get a right-angled triangle with the right angle at point B.
To find the area of the triangle, we use the formula 1/2 × base × height. Here, the base of the triangle is given as BC, which is 8 units. To find the height of the triangle, we need to calculate the perpendicular distance from point A to line BC. Since the line BC is horizontal, the vertical distance between point A and line BC is the height of the triangle.
However, in this case, the y-coordinate of point A is the same as the y-coordinate of point C, which means that point A lies on the same horizontal line as line BC. Therefore, the perpendicular distance between point A and line BC is 0 units, which means that the height of the triangle is also 0 units.
As the height of the triangle is 0 units, the area of the triangle is 0 square units. Therefore, the figure obtained by joining the points A(0,5), B(8,0), and C(8,5) is a right-angled triangle with an area of 0 square units.