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Home > CCG > Chapter 8 > Lesson 8.1.4 > Problem 8-43


Find the area of each figure below. Show all work.  

  1. An enclosed figure:  Down 4, left 9, and up an unknown length, right 5, and a diagonal to the start enclosing the figure. Its length is 4 square root of two..  Three angles are right angles.

    Create a triangle that would make  the hypotenuse and and each of the triangle’s bases.

    Now use the Pythagorean Theorem to solve for .

    Now that you know the value of , you can find the area of the triangle and the area of the rectangle that have been created.

    Find the area of the figure by subtracting the area of the triangle from the area of the rectangle.

  1. A triangle has two equal sides. One of these is labeled 12.  The angle between the two equal sides is 22 degrees.

    Draw a height from the angle. Since the triangle is isosceles, what properties are true about the two created right triangles?

  1. A right triangle with a hypotenuse of 8 and a leg of 4.

    Use the Pythagorean Theorem to first find the unknown side and then the triangle's area.