Pythagorean Triples

Presentation

•

Mathematics

•

12th Grade

•

Hard

James Gonzalez

FREE Resource

12 Slides • 11 Questions

Topic 8:
Right Triangles and Trigonometry

Day 1: The Pythagorean Theorem (Right Triangles)

Do Now:

Solve for the missing leg

2. Solve for b

Theorem 8.1

The Pythagorean Theorems

Theorem 8.2 (converse)

Multiple Choice

Is this a right triangle?

Yes

Multiple Choice

Is this a right triangle?

Yes

Multiple Choice

Is a triangle with side lengths of 12, 9, and 15 a right triangle?

Yes

Multiple Choice

A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is the distance? Round your answer to the nearest whole number.

30 meters

83 meters

164 meters

260 meters

Multiple Choice

Find h

35.60

35.00

35.71

61.03

Let's work this together!

What is a Pythagorean Triple?

Some numbers seem to work perfectly in the Pythagorean Theorem, like 3, 4, and 5, which is 3² + 4² = 5². Sets of positive, whole numbers that work in the Pythagorean Theorem are called Pythagorean triples.

Most used Pythagorean Triples (write these down!)

3-4-5 (along with its multiples, example: 6-8-10)
5-12-13
8-15-17
7-24-25
9-40-41
11-60-61

Fill in the Blanks

Using the Pythagorean Triples, find the missing side (triangles are not always drawn to scale).

Fill in the Blanks

Using the Pythagorean Triples, find the missing side (triangles are not always drawn to scale).

Classifying Triangles

Classifying Right Triangles

If c² = a² + b² --> ____ triangle
If c² < a² + b² --> _____ triangle
If c² > a² + b² --> _____ triangle

Obtuse
Right
Acute

Which one is not a right triangle?

Multiple Choice

Acute

Obtuse

Right

Not a Triangle

Multiple Choice

Acute

Obtuse

Right

Not a Triangle

Multiple Choice

Which equation is set up correctly for this word problem?

$23^2+b^2=10^2$

$10^2+b^2+23^2$

$10^2+23^2=c^2$

$a^2+23^2=c^2$

Multiple Choice

$\sqrt{44.05}=6.6$

$\sqrt{629}=25.1$

$\sqrt{33}=5.74$

Topic 8:
Right Triangles and Trigonometry

Day 1: The Pythagorean Theorem (Right Triangles)

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