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Answer

Mylea J

A right triangle has a side that measures 5 in and a hypotenuse that measures 10 in. What does the other side measure

10in

5in

Mylea J

Alicia A

Example 6

The other side is 8.6 in.

b

A right triangle has a side that measures 5 in and a hypotenuse that measures 10 in. What does the other side measure?

10 in

5 in

b

Try this on your own

Example 4

A right triangle has a side measuring 7 ft and the hypotenuse measuring 14 ft. What is the measurement of the other side?

14ft

a

The measurement of the other side equals 12.1ft.

7ft

Alicia A

Missing Side

Now we're going to give you another example,but instead of finding the missing hypotenuse, we're going to help you find one of the missing sides. It's the same thing just a little bit different. It's a piece of cake!

Arelis A

Example 3

Maria walks to school every day from her house. She walks around her neighbor's houses. She has to walk 6.2 meters to the East and 8 meters to the North. How many meters would she have to walk if she cuts through her neighbor's backyards?

If it was possible to cut through her neighbor's back yard, Maria would only have walk 10.1 meters.

8m

Arelis A

Example 2

6.2m

Bob is trying to fix the roof of his house after a dangerous storm. He placed the ladder 7ft away from the wall.The distance from the ground to the top of the house is 16ft. What is the length of the ladder?

The length of the ladder is 17.5ft.

?

16ft

7ft

FOLLOW THE C.U.B.E.S

Pythagorean Theorem

The trick that we always use and will show you is using C.U.B.E.S. C.U.B.E.S is really important in math, especially when using word problems. C.U.B.E.S stands for.

C.U.B.E.S

Solve the answer

Box in the keys words

Underline

the question

Evaluate the answer

Circle the

numbers

Andrea G

Example 1

Andrea G

Two sides of a right triangle measure 8 in and 15 in. What is the hypotenuse?

The hypotenuse equals 17 in

STEPS

1st

?

2nd

3rd

4th

5th

6th

Introduction

Today, we are going to do a presentation over the Pythagorean Theorem.In this lesson we will be looking at how to solve word problems using Pythagorean Theorem. Here is the formula and some examples that would be great to demonstrate in this presentation. Also we will show you a trick that we use to help us with story problems. We will help you become a pro in word problems using Pythagorean Theorem at the end.

Formula

Story Problems

Hayli K

Hayli Kwiatkowski, Arelis Aguilar, Alicia Arroyo, Andrea Garcilazo, Mylea Johnson

Mylea J

Pythagorean Theorem

The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. In mathematics, the Pythagorean theorem is a relation in Euclidean geometry among the three sides of a right triangle. The theorem can be written as an equation relating the lengths of the sides a, b, and c often called the Pythagorean equation. C represents the length of the hypotenuse and a and b represent the lengths of the other two sides.

Hayli K

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