Processing Math: Done

From Förberedande kurs i matematik 1

We can start by drawing the points (1,4), (3,3) and (1,0) in a coordinate system and draw lines between them, so that we get a picture of how the triangle looks like.

If we now think of how we should use the fact that the area of a triangle is given by the formula

Area=21(base)(height),

it is clear that it is most appropriate to use the edge from (1,0) to (1,4) as the base of the triangle. The base is then parallel with the y-axis and we can read off its length as the difference in the y-coordinate between the corner points (1,0) and (1,4), i.e.

base=4−0=4.

In addition, the triangle's height is the horizontal distance from the third corner point (3,3) to the base and we can read that off as the difference in the x-direction between (3,3) and the line x=1, i.e.

height=3−1=2.

Thus, the triangle's area is

Area=21(base)(height)=2142=4u.a.