Presentation is loading. Please wait.

Presentation is loading. Please wait.

CONVERSE of the Pythagorean Theorem If a2 + b2 = c2, then the

Published byἈελλώ Αλεβιζόπουλος Modified over 5 years ago

Similar presentations

Presentation on theme: "CONVERSE of the Pythagorean Theorem If a2 + b2 = c2, then the"— Presentation transcript:

1 CONVERSE of the Pythagorean Theorem If a2 + b2 = c2, then the
triangle is a RIGHT TRIANGLE. Tell whether the given sides form a right triangle. 1. 2, 3, 4 2. 12, 16, 20 3. Which of these sets of 3 numbers could represent the sides of a right triangle? I. 5, 7, 9 II. 5, 12, 13 A. Neither I nor II B. I only C. II only D. Both I and II

2 SELECT ALL THAT APPLY. (There may be more than one correct answer.)
4. Which of the following are Pythagorean Triples? 5. Which of the following are Right Triangles? A. 7, 8, A. 6, 8, 10 B. 9, 15, B. 50, 40, 30 C. 26, 24, C. 7, 4, 3 D. 1, 2, D. 1.2, ,

Download ppt "CONVERSE of the Pythagorean Theorem If a2 + b2 = c2, then the"

Similar presentations

Pythagoras Bingo. Pick 8 from the list 8920 90C 5101520 965no 16124yes Pythagorean triple Hypotenuse Pythagoras theorem.

Pythagoras Bingo. Pick 8 from the list C no 16124yes Pythagorean triple Hypotenuse Pythagoras theorem.
EXAMPLE 4 SOLUTION Method 1: Use a Pythagorean triple. A common Pythagorean triple is 5, 12, 13. Notice that if you multiply the lengths of the legs of.

EXAMPLE 4 SOLUTION Method 1: Use a Pythagorean triple. A common Pythagorean triple is 5, 12, 13. Notice that if you multiply the lengths of the legs of.
TODAY IN GEOMETRY… Warm Up: Simplifying Radicals

TODAY IN GEOMETRY… Warm Up: Simplifying Radicals
TODAY IN GEOMETRY…  Practice: Solving missing sides using the Pythagorean Theorem  Learning Target 1: Use the Converse of the Pythagorean Theorem determine.

TODAY IN GEOMETRY…  Practice: Solving missing sides using the Pythagorean Theorem  Learning Target 1: Use the Converse of the Pythagorean Theorem determine.
EXAMPLE 4 Find the length of a hypotenuse using two methods SOLUTION Find the length of the hypotenuse of the right triangle. Method 1: Use a Pythagorean.

EXAMPLE 4 Find the length of a hypotenuse using two methods SOLUTION Find the length of the hypotenuse of the right triangle. Method 1: Use a Pythagorean.
The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.

The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.
EXAMPLE 1 Finding an Angle Measure 1 and 2 are complementary, and m 2 = 32. Find m 1. SOLUTION m 1+ m 2 = 90 32m 1+= 90 m 1 = 58 Definition of complementary.

EXAMPLE 1 Finding an Angle Measure 1 and 2 are complementary, and m 2 = 32. Find m 1. SOLUTION m 1+ m 2 = 90 32m 1+= 90 m 1 = 58 Definition of complementary.
Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’

Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’
10.5 – The Pythagorean Theorem. leg legleg hypotenuse hypotenuse leg legleg.

10.5 – The Pythagorean Theorem. leg legleg hypotenuse hypotenuse leg legleg.
8-1 The Pythagorean Theorem and Its Converse. Parts of a Right Triangle In a right triangle, the side opposite the right angle is called the hypotenuse.

8-1 The Pythagorean Theorem and Its Converse. Parts of a Right Triangle In a right triangle, the side opposite the right angle is called the hypotenuse.
CHAPTER 8 RIGHT TRIANGLES

CHAPTER 8 RIGHT TRIANGLES
The Converse of the Pythagorean Theorem 9-3

The Converse of the Pythagorean Theorem 9-3
Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.

Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.
Chapter 7.1 & 7.2 Notes: The Pythagorean Theorem and its Converse

Chapter 7.1 & 7.2 Notes: The Pythagorean Theorem and its Converse
Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.

Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.
Pythagorean Theorem And Its Converse

Pythagorean Theorem And Its Converse
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.
Over Lesson 8–1 5-Minute Check 1 Find the geometric mean between 9 and 13. A.2 B.4 C. D.

Over Lesson 8–1 5-Minute Check 1 Find the geometric mean between 9 and 13. A.2 B.4 C. D.
Pythagorean Theorem – Prove It! Converse of Pythagorean Theorem 1.) Is a triangle with side measures of 30, 40, and 50 units a right triangle? Prove it!

Pythagorean Theorem – Prove It! Converse of Pythagorean Theorem 1.) Is a triangle with side measures of 30, 40, and 50 units a right triangle? Prove it!
Lesson 7-2: Pythagorean Theorem. Pythagorean Theorem In a ________ ________, the sum of the squares of the ______ of a right triangle will equal the square.

Lesson 7-2: Pythagorean Theorem. Pythagorean Theorem In a ________ ________, the sum of the squares of the ______ of a right triangle will equal the square.

Similar presentations

Ads by Google