We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byDestini Beaman
Modified over 4 years ago
Pythagorean Relationship 2 (Finding the length of the Hypotenuse)Measurement Pythagorean Relationship 2 (Finding the length of the Hypotenuse)
To review… In a right angle triangle, the side of the triangle opposite the right angle is called the hypotenuse. hypotenuse legs
Pythagorean RelationshipArea = c2 b c Area = b2 c b a a2 + b2 = c2 a Area = a2
Applying the Pythagorean RelationshipWe know that: a b2 = c2 a c b
Applying the Pythagorean RelationshipUsing this… If we know the lengths of ANY two sides of a right angle triangle, we can use the Pythagorean Relationship to find the length of the unknown side. a c b
Applying the Pythagorean RelationshipSituation One: We know the lengths of the two legs (a and b) of a right triangle. How can we find the length of the hypotenuse (c)? a c b
Applying the Pythagorean RelationshipSince we know that: a2 + b2 = c2 Then: c2 = a2 + b2 a c b
Applying the Pythagorean RelationshipSince: c2 = a2 + b2 Then: c = (a2 + b2) a c b
Applying the Pythagorean RelationshipExample: a = 7m; b = 5m c = (a2 + b2) c = ( ) c = ( ) c = c = m a = 7m c = ? b = 5m
Problem a = 3cm Find the length of the hypotenuse, “c”. b = 6cm c = ?
Pythagorean Theorem Properties of Special Right Triangles
Measurement Pythagorean Relationship 3 (Finding the length of an unknown leg)
4.4 – Prove Triangles Congruent by SAS and HL Consider a relationship involving two sides, and the angle they form, their included angle. Any time you.
Pythagoras Bingo. Pick 8 from the list C no 16124yes Pythagorean triple Hypotenuse Pythagoras theorem.
The Pythagorean Theorem leg hypotenuse leg Applies to Right Triangles only! The side opposite the right angle The sides creating the right angle are called.
Special Right Triangles
Solving Right Triangles Given certain measures in a right triangle, we often want to find the other angle and side measures. This is called solving the.
Created by G. Antidormi 2003 The Pythagorean 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 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.
Lesson 56: Special Right Triangles
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
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’
4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA
Geometry Section 9.4 Special Right Triangle Formulas
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.
© 2018 SlidePlayer.com Inc. All rights reserved.