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2 Right triangles, labeled as follows: Triangle #1: vertical leg, 1, angle opposite horizontal leg, 60 degrees & angle opposite vertical leg, 30 degrees. Triangle, #2: vertical leg, 1, angle opposite horizontal leg, and angle opposite vertical leg, 45 degrees. Copy the triangles at right.

  1. Label the missing sides with their exact lengths. That is, leave your answers in radical form.

    Refer to the Math Notes box for Lesson 7.1.2.

  2. The triangle is sometimes called a half-equilateral triangle. Draw a picture to illustrate this, and explain how that fact can be used to help label the missing sides in part (a).

    Reflect the triangle across the long leg. This will help you find the hypotenuse.
    Use the Pythagorean Theorem to find the length of the long leg.

    Equilateral triangle, each angle labeled, 60 degrees, with line segment from top vertex, perpendicular to the base, dividing the triangle into 2 right triangles. The hypotenuse & horizontal legs, of the right triangle on the right, is dashed.