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Home > PC > Chapter 2 > Lesson 2.1.2 > Problem 2-29


Solve each triangle.

  1. Find the legs of an isosceles right triangle with a cm hypotenuse.

    Draw and label a sketch

    Since you know the two legs are equal, what famous theorem starting with a '' can be useful in setting up an equation and solving?

    Right triangle, A B C, hypotenuse, B C, labeled, a = 10 cm.

  2. Find the short leg of a triangle with an cm hypotenuse.

    Draw and label the triangle.
    Which side is the short leg?

    Set up a trig function with the known information and leg . Solve for .

    Right trianagle, D E F, sides labeled as follows: vertical leg, F D, small letter e, horizontal leg, D E, small letter f, hypotenuse, F E, d = 8 cm, angle, E, 30 degrees, angle F, 60 degrees.

  3. Find the long leg of a triangle with a cm short leg.


    Right triangle, D sub 1, E sub 1, F sub 1, vertical leg. F sub 1 D sub 1, e sub 1 = 3 cm, horizontal leg, d sub 1 e sub 1, small letter f sub 1, hypotenuse, small letter d sub 1.