The legs of a right triangle have the proportion 8: 15, and the hypotenuse is 6.8 cm long. find the area of the triangle.

Solution:

Let the legs be 8x and 15x.

The hypotenuse is 6.8 cm long.

Using Pythagoras theorem we can write

So the legs are

Are of Triangle

Are of Triangle

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c