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6-79.

Tanika made this sequence of triangles:

  1. If the pattern continues, what do you think the side lengths of the next two triangles in the sequence will be?

    Follow the linear patterns for each side.

  2. Write a sentence to explain how to calculate the length of the long leg and the hypotenuse if you know the length of the short leg (i.e., if the short leg is units long, write expressions for the length of the long leg and hypotenuse).

3 right triangles, growing in size from smallest on the left to largest on the right, each has angle opposite vertical leg, labeled 60 degrees, & angle opposite horizontal leg, labeled 30 degrees. Sides labeled as follows: smallest, horizontal leg, 1, vertical leg, square root of 3, hypotenuse, 2. Middle,  horizontal leg, 2, vertical leg, 2 times square root of 3, hypotenuse, 4. Largest, horizontal leg, 3, vertical leg, 3 times square root of 3, hypotenuse, 6.