The Pythagorean Theorem is the expression of the relationship between the three sides of a right triangle (the square of the hypotenuse is equal to the sum of the squares of the other two sides). In these worksheets, your students will solve word problems that require them to use the Pythagorean Theorem. There are 11 worksheets in this set. A set of six worksheets introduces the topic and provides problems for students to practice. Additional worksheets are provided at both the basic and intermediate skills levels. This set of worksheets contains lessons, step-by-step solutions to sample problems, and both simple and more complex problems. It also includes ample worksheets for students to practice independently. Students may require extra paper on which to do their calculations. Most worksheets contain between eight and ten problems. When finished with this set of worksheets, students will be able to solve word problems that require them to use the Pythagorean Theorem.
It should be noted that right triangles can also be used to model physical elevations or depressions of just about any kind. There is a set process you should follow when you come across a challenging word problem that involves the use of the Pythagorean Theorem. It starts by drawing a right triangle and adding all the information you have on the measures of the triangle. Then we can use the Pythagorean Theorem (a2 + b2 = c2) to find any of the missing sides. The measures a and b represent the legs of the triangle and c represents the hypotenuse (which is opposite the right angle). Place the known values of the triangle in the equation and solve the equation to find the missing side. The last thing to keep in mind is the units of measure. Make certain those units are consistent. These worksheets explain how to solve word problems using the Pythagorean Theorem. Sample problems are solved and practice problems are provided.
