# Using Pythagorean Theorem to Solve Real World Problems

*Objectives and Goals:*

Target Objective:

- Given a scenario describing a right triangle, students will be able to draw a picture representing the passage, and solve for the missing distance by using Pythagorean Theorem and a calculator.

Activity Goals:

- Given a scenario describing a right triangle, students will be able to draw a picture representing the passage.

- Based on the picture drawn, students will be able to solve for the missing distance by using Pythagorean Theorem and a calculator.

NYS Standards:

*MST3.07.GE8.08: Students use the Pythagorean Theorem to determine the unknown length of a side of a right triangle.*

*MST3.07.NO6.15: Students recognize and state the value of the square root of a perfect square (up to 225).*

*MST3.07.NO6.16: Students determine the square root of non-perfect squares using a calculator.*

*ELA1.07.RE1.02: Students interpret data, facts, and ideas from informational texts by applying thinking skills, such as define, classify, and infer.*

**Activity Four:** *Part One:* Real World Examples:

The following are word problems. They work exactly the same as the questions in Activity Three Finding the Unknown Side of a Right Triangle using Pythagorean Theorem. The only difference is now you will have to create your own right triangle. *Hint: Look for where two sides will form a right angle.*

The following page is an online multiple choice quiz that contains word problems. The best part is the *explanation bar*. For the first couple of examples read the explanation bar, as you try to figure out the problem. As you feel more and more independent, try the questions without the help(explanation) bar. http://www.regentsprep.org/Regents/math/geometry/GP13/PracPyth.htm -

When you feel confident try these questions: http://www.proprofs.com/quiz-school/story.php?title=Pythagorean-Theorem-Quiz-1-1

go back to Pythagorean Theorem

go back to Activity Three: Finding the Unknown Side of a Right Triangle using Pythagorean Theorem

go on to Activity Five: Is it a triangle, a right triangle, or not a triangle?