Question

Area of the triangle formed by the lines through point (6, 0) and at a perpendicular distance of 5 from point (1, 3) and line y = 16 in square units is :

A 160
B 200
C 240
D 130

Answer 1

The area of the triangle formed by the given lines is 12.5 square units.

Step-by-step explanation:

To find the area of the triangle, we first need to find the base and height of the triangle. The base of the triangle is the distance between the point (1, 3) and the point (6, 0), which is 5 units.

The height of the triangle is the perpendicular distance from the line y = 16 to the point (1, 3). Since the line y = 16 is horizontal, the height of the triangle is the vertical distance between the point (1, 3) and the line y = 16, which is also 5 units.

Now, we can use the formula for the area of a triangle: area = (1/2) * base * height. Plugging in the values, we get: area = (1/2) * 5 * 5 = 12.5 square units.