Answer:
11. s = 14
12. k = 24
Explanation:
There are two "special" right triangles that show up in trig and geometry problems.
The isosceles right triangle has angles of 45°-45°-90°, and side length ratios 1 : 1 : √2.
The half-equilateral triangle has angles of 30°-60°-90°, and side length ratios 1 : √3 : 2.
You will do yourself a favor if you remember and learn to recognize these triangles.
__
11.)
The hypotenuse of the isosceles right triangle is 14√2. This tells you the basic ratio has been multiplied by 14. The side length is ...
s = 14
__
12.)
The half-equilateral triangle has middle-length side 12√3. This means the basic ratio has been multiplied by 12. The triangle short side is 12, and the long side is twice that:
k = 24