Find the point p that is 2/5 of the way from a to b on the directed line segment ab
if a (-8, -2) and b (6, 19).
(-2.4, 6.4)
(7.2, 8.8)
(2.4, -6.4)
(-7.2, -8.8)

7, and 7√2

Step-by-step explanation:

The angle ratios are 1.5 : 1.5 : 3, so there are

1.5 + 1.5 + 3 = 6 total parts.  There are 180° in a triangle, so we have

6x = 180

  x = 30

Each part is 30°,

1.5 becomes 45°  (30 plus half of 30)

3 becomes 90°

There are 2 angles with a ratio of 1.5, so we have a 45° - 45° - 90° triangle.  

The side opposite the smallest angle is 7, there are angels with the least measure, so there are 2 sides that are 7.  

The hypotenuse of a 45° - 45° - 90° triangle is larger than the legs by a factor of √2, so the hypotenuse is 7√2