Answer:
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
