Some Pythagorean Theory Problems

now its time to practice what you've learned:

1. Find the length of the hypotenuse of a right triangle whose sides are 24 inches and 18 inches.

2. Find the length of a side of a right triangle whose hypotenuse is 17 yards and whose other side is 15 yards.

3. Find the distance that you would walk up a staircase if it is 21 feet high and has a base of 28 feet.

4. Find the perimeter of a flower garden if its shape is a right triangle with a hypotenuse of 10 feet and a side of 8 feet.

5. Find the hypotenuse of a sail whose shape is a right triangle with a base of 15 feet and whose height is 36 feet.

More Pythagorean Theorem help

some examples:

Example 1

Find the length of the hypotenuse of a right triangle if the length of its sides are 5 inches and 12 inches.

Solution 1

Example 2

A person drives 33 miles due east, then makes a left turn, and drives 56 miles north. How far is he from his starting point?

Solution 2

The right triangle is shown in Fig. 9-24.

Fig. 9-24.

Then

Pythagorean Theorem again

another explanation:

The Pythagorean Theorem

The Pythagorean theorem, an important mathematical principle, uses right triangles. A right triangle is a triangle which has one right or 90° angle. The side opposite the 90° angle is called the hypotenuse .

The Pythagorean theorem states that for any right triangle c ² = a ² + b ² , where c is the length of the hypotenuse and a and b are the lengths of its sides (see Fig. 9-23 ) .

Fig. 9-23.

Finding the Hypotenuse

If you need to find the hypotenuse of a right triangle, use c = .

Finding the Sides of a Right Triangle

If you need to find the length of one side of a right triangle, use a = or b = .

Angle Theta

some of you asked about this in class today.  here is some more information:

 How to Find the angle Theta:

Instructions

1. • 1
     Identify angle theta, the unknown angle in the triangle.
     
   • 2
     Identify sides "a," "b" and "c" of the triangle. Side "a" is the side opposite of the theta angle. Side "b" is the side adjacent to the theta angle. Side "c" is the hypotenuse, or the longest side, of the triangle.
     
   • 3
     Select a trigonometric identity to use to find angle theta, depending on the known side lengths. The trigonometric identities are:
     1. sin(theta) = a/c
     2. cos(theta) = b/c
     3. tan(theta) = a/b
     
   • 4
     Plug in the side lengths for the selected trigonometric identity to determine its ratio. For example, if side a = 6 and side c = 10, then sin(theta) = 6/10 or 0.6.
     
   • 5
     Using a scientific or graphic calculator, use the ratio of the identity to determine the measurement of angle theta. On the calculator, select the sin^-1, cos^-1, or tan^-1 key, depending on the trigonometric identity used, then type in the ratio from Step 4. The answer to this function is the measurement of angle theta. For example, if sin(theta) = 0.6, then sin^-1(0.6) = 36.9, and theta angle measures 36.9 degrees.
     

Read more: http://www.ehow.com/how_5075365_angle-theta-trigonometry.html#ixzz2rkOzWiOZ

Pythagorean Theorem help

here is a link that may be helpful to you.  

 http://www.mathwarehouse.com/geometry/triangles/how-to-use-the-pythagorean-theorem.php


once the link opens, scroll down and click on the play arrow for the video.

you may also might want to check out all the examples shown.

Problem to solve

Given the circuit pictured here, solve for IR1, IR2, IR3 and IR4 as well as IT and RT.  be sure to label your answers.