Question

Special right triangles please help! Find the variable

Answer 1

Answer:

  11. s = 14

  12. k = 24

Step-by-step 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.

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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

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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