# Pythagorean Word Problems in Real Life

Pythagorean Word Problems in Real Life
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Slide 1: Slide

This lesson contains 13 slides, with interactive quizzes and text slides.

## Items in this lesson

Pythagorean Word Problems in Real Life

#### Slide 1 -Slide

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Learning Objective
At the end of the lesson, you will be able to apply the Pythagorean theorem to solve real-life word problems.

#### Slide 2 -Slide

Introduce the learning objective of the lesson to the students.

#### Slide 3 -Mind map

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What is the Pythagorean Theorem?
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

#### Slide 4 -Slide

Explain the Pythagorean theorem to the students and provide an example.
Example 1
A ladder is leaning against a wall. The base of the ladder is 6 feet away from the wall and the ladder is 10 feet long. How high up the wall does the ladder reach?

#### Slide 5 -Slide

Ask the students to solve the problem using the Pythagorean theorem.
Example 2
A rectangular field is 60 feet by 80 feet. What is the length of the diagonal?

#### Slide 6 -Slide

Ask the students to solve the problem using the Pythagorean theorem.
Example 3
A right triangle has a hypotenuse of 17 cm and one leg of 8 cm. What is the length of the other leg?

#### Slide 7 -Slide

Ask the students to solve the problem using the Pythagorean theorem.
Example 4
A kite is flying on a string that is 200 meters long. If the string makes an angle of 60 degrees with the ground, how high is the kite above the ground?

#### Slide 8 -Slide

Ask the students to draw a diagram and solve the problem using the Pythagorean theorem.
Example 5
A person walks 6 km due east and then 8 km due north. How far is the person from the starting point?

#### Slide 9 -Slide

Ask the students to draw a diagram and solve the problem using the Pythagorean theorem.
Challenge Problem
A tree casts a shadow that is 20 feet long. At the same time, a 6-foot-tall man standing near the tree casts a shadow that is 4 feet long. How tall is the tree?

#### Slide 10 -Slide

Ask the students to draw a diagram and use the Pythagorean theorem to solve the problem. This problem requires the use of similar triangles.
Write down 3 things you learned in this lesson.

#### Slide 11 -Open question

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.
Write down 2 things you want to know more about.

#### Slide 12 -Open question

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.