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3-10.

Tanika made this sequence of triangles:

30, 60,90 triangle, labeled as follows: horizontal leg, opposite 30 degree angle, 1, vertical leg, square root 3, hypotenuse, 2.      30, 60,90 triangle, labeled as follows: horizontal leg, opposite 30 degree angle, 2, vertical leg, 2 times square root 3, hypotenuse, 4.    30, 60,90 triangle, labeled as follows: horizontal leg, opposite 30 degree angle, 3, vertical leg, 3 times square root 3, hypotenuse, 6.

  1. If the pattern continues, what do you think the next two triangles in the sequence would be?

    Copy and complete the triangles.

    2 right triangles, labeled as follows: Left: horizontal leg, 4. Right: vertical leg, 5 times square root 3, hypotenuse, 10

  2. Write a sentence to explain how to find the long leg and hypotenuse if you know the short leg (i.e., if the base is units long).

    Look at the relationship between the hypotenuse and the short leg.
    Next, look at the relationship between the long leg and the short leg.