Types of Triangles - Coach Young Math · Pythagorean Theorem a2 + b2 = c2 a = leg b = leg c =...

7
Types of Triangles Right Triangles Hypotenuse Hypotenuse is the longest side of the triangle and it is across from the right angle. Leg Right Angle Leg

Transcript of Types of Triangles - Coach Young Math · Pythagorean Theorem a2 + b2 = c2 a = leg b = leg c =...

Page 1: Types of Triangles - Coach Young Math · Pythagorean Theorem a2 + b2 = c2 a = leg b = leg c = hypotenuse Finding a missing side using Pythagorean Theorem 1. Figure out what side is

Types of Triangles

Right Triangles

Hypotenuse

Hypotenuse is the longest side of the triangle and it is across from the right angle.

Leg

Right AngleLeg

Page 2: Types of Triangles - Coach Young Math · Pythagorean Theorem a2 + b2 = c2 a = leg b = leg c = hypotenuse Finding a missing side using Pythagorean Theorem 1. Figure out what side is

Pythagorean Theorem

a2 + b2 = c2a = leg b = leg c = hypotenuse

Finding a missing side using Pythagorean Theorem

1. Figure out what side is missing (leg or hypotenuse).

2. Input values into the formula.

3. Solve for the missing variable.­ The inverse of a square (2) is a square root.

Page 3: Types of Triangles - Coach Young Math · Pythagorean Theorem a2 + b2 = c2 a = leg b = leg c = hypotenuse Finding a missing side using Pythagorean Theorem 1. Figure out what side is

Pythagorean Triples"Pythagorean triples" are integer solutions to the 

Pythagorean Theorem. 

Using these can make solving using Pythagorean theorem easier by recognizing the relationship 

between the sides of the triangle.

Find the missing side of the triangle.

Page 4: Types of Triangles - Coach Young Math · Pythagorean Theorem a2 + b2 = c2 a = leg b = leg c = hypotenuse Finding a missing side using Pythagorean Theorem 1. Figure out what side is

Find the missing side of the triangle.

Find the missing side of the triangle.

Page 5: Types of Triangles - Coach Young Math · Pythagorean Theorem a2 + b2 = c2 a = leg b = leg c = hypotenuse Finding a missing side using Pythagorean Theorem 1. Figure out what side is

Find the missing side of the triangle.

Find the missing side of the triangle.

Page 6: Types of Triangles - Coach Young Math · Pythagorean Theorem a2 + b2 = c2 a = leg b = leg c = hypotenuse Finding a missing side using Pythagorean Theorem 1. Figure out what side is

A tent is supported by a rope tied to a stake, as shown in the diagram. What is the length of the rope?

Abby has let out 50 meters of kite string when she observes that her kite is directly above Emily. If Abby is 35 meters from Emily, how high is the kite?

Page 7: Types of Triangles - Coach Young Math · Pythagorean Theorem a2 + b2 = c2 a = leg b = leg c = hypotenuse Finding a missing side using Pythagorean Theorem 1. Figure out what side is

A builder needs to add diagonal braces to a wall. The wall is 16 feet wide by 12 feet high. What is the length of each brace?

A pole was blown over in a storm. If the distance between where the pole is in the ground and where the broken piece is touching the ground is 7 feet, and the height from the broken part to the ground is 5 feet. How tall was the pole before it broke? 


4-8 The Pythagorean Theorem 0806.4.1 Use and apply the Pythagorean Theorem to solve contextual problems The Pythagorean Theorem.

4-8 The Pythagorean Theorem 0806.4.1 Use and apply the Pythagorean Theorem to solve contextual problems The Pythagorean Theorem.

The Pythagorean Theorem Section 8-1. Use the Pythagorean Theorem.

The Pythagorean Theorem Section 8-1. Use the Pythagorean Theorem.

Pythagorean Theorem 170720 - josmfs.netjosmfs.net/.../2018/12/Pythagorean-Theorem-170720.pdf · Pythagorean Theorem 170720.doc 1 The Pythagorean Theorem 27 March 2016, rev 28 December

Pythagorean Theorem 170720 - josmfs.netjosmfs.net/.../2018/12/Pythagorean-Theorem-170720.pdf · Pythagorean Theorem 170720.doc 1 The Pythagorean Theorem 27 March 2016, rev 28 December

Pythagorean Theorem hypotenuse leg€¦ · Notes Pythagorean Theorem.notebook April 10, 2017 Pythagorean Theorem hypotenuse leg leg a b c The sides a and b can be interchanged a2

Pythagorean Theorem hypotenuse leg€¦ · Notes Pythagorean Theorem.notebook April 10, 2017 Pythagorean Theorem hypotenuse leg leg a b c The sides a and b can be interchanged a2

Pythagorean Theorem .

Pythagorean Theorem .

The Pythagorean Theorem A 2 + B 2 = C 2. The Pythagorean Theorem Leg A Leg B Hypotenuse Parts of a Right Triangle.

The Pythagorean Theorem A 2 + B 2 = C 2. The Pythagorean Theorem Leg A Leg B Hypotenuse Parts of a Right Triangle.

The Pythagorean Theorem

The Pythagorean Theorem

Demonstration of the Pythagorean Theorem · Pythagorean Theorem Mathematics ... Demonstration of the Pythagorean Theorem ... The"top"portion"of"the"map"shows"the"Pythagorean"Theorem"expressed"in"the"form"a2

Demonstration of the Pythagorean Theorem · Pythagorean Theorem Mathematics ... Demonstration of the Pythagorean Theorem ... The"top"portion"of"the"map"shows"the"Pythagorean"Theorem"expressed"in"the"form"a2

5-3A The Pythagorean Theorem You used the Pythagorean Theorem to develop the Distance Formula. Use the Pythagorean Theorem. Use the Converse of the Pythagorean.

5-3A The Pythagorean Theorem You used the Pythagorean Theorem to develop the Distance Formula. Use the Pythagorean Theorem. Use the Converse of the Pythagorean.

3. hyp Leg T Hypotenuse leg · 2020-01-06 · Leg Hypotenuse 253 a 253 F t ra 4 3 hyp leg T leg. January 13, 2020 Section 6.1 Pythagorean Theorem I can apply the Pythagorean Theorem

3. hyp Leg T Hypotenuse leg · 2020-01-06 · Leg Hypotenuse 253 a 253 F t ra 4 3 hyp leg T leg. January 13, 2020 Section 6.1 Pythagorean Theorem I can apply the Pythagorean Theorem

Pythagorean Theorem Inequality and Pythagorean Triples

Pythagorean Theorem Inequality and Pythagorean Triples

Pythagorean Theorem, Distance Formula and Midpoint Formula · Theorem, Distance Formula and Midpoint Formula . Pythagorean Theorem leg leg hyp2 2 2 ... Midpoint Given 2 ordered pairs,

Pythagorean Theorem, Distance Formula and Midpoint Formula · Theorem, Distance Formula and Midpoint Formula . Pythagorean Theorem leg leg hyp2 2 2 ... Midpoint Given 2 ordered pairs,

Sec 6.6 Pythagorean Theorem. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite.

Sec 6.6 Pythagorean Theorem. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite.

A Brief History of the Pythagorean Theorem · A Brief History of the Pythagorean Theorem ... 8.2 - The Pythagorean Theorem and its Converse a2 + b2 = c2 The Pythagorean Theorem: ...

A Brief History of the Pythagorean Theorem · A Brief History of the Pythagorean Theorem ... 8.2 - The Pythagorean Theorem and its Converse a2 + b2 = c2 The Pythagorean Theorem: ...

703 Pythagorean Theorem — Day 1 Essential Question: VOCAB Pythagorean Theorem… · 2020-02-10 · 703 Pythagorean Theorem — Day 1 Essential Question: VOCAB Pythagorean Theorem:

703 Pythagorean Theorem — Day 1 Essential Question: VOCAB Pythagorean Theorem… · 2020-02-10 · 703 Pythagorean Theorem — Day 1 Essential Question: VOCAB Pythagorean Theorem:

7.1 – Apply the Pythagorean Theorem. Pythagorean Theorem: leg hypotenuse a b c c 2 = a 2 + b 2 (hypotenuse) 2 = (leg) 2 + (leg) 2 If a triangle is a right.

7.1 – Apply the Pythagorean Theorem. Pythagorean Theorem: leg hypotenuse a b c c 2 = a 2 + b 2 (hypotenuse) 2 = (leg) 2 + (leg) 2 If a triangle is a right.

Big and Small - CUSD 4...Proving the Pythagorean Theorem Proving the Pythagorean Theorem and the Converse of the Pythagorean Theorem 1. Use this figure to prove the Pythagorean Theorem.

Big and Small - CUSD 4...Proving the Pythagorean Theorem Proving the Pythagorean Theorem and the Converse of the Pythagorean Theorem 1. Use this figure to prove the Pythagorean Theorem.

Pythagorean Theorem. History of Pythagorean Theorem Review The Pythagorean theorem takes its name from the ancient Greek mathematician Pythagoras (569.

Pythagorean Theorem. History of Pythagorean Theorem Review The Pythagorean theorem takes its name from the ancient Greek mathematician Pythagoras (569.

8.1 Pythagorean Theorem and Pythagorean Triples

8.1 Pythagorean Theorem and Pythagorean Triples

Pythagorean Theorem 5.4. Learn the Pythagorean Theorem. Define Pythagorean triple. Learn the Pythagorean Inequality. Solve problems with the Pythagorean.

Pythagorean Theorem 5.4. Learn the Pythagorean Theorem. Define Pythagorean triple. Learn the Pythagorean Inequality. Solve problems with the Pythagorean.