Math 3-4: The Pythagorean Theorem

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Presentation transcript:

Math 3-4: The Pythagorean Theorem Objective: How to use the Pythagorean Theorem.

Vocabulary right triangle – a triangle having one right angle. legs – the 2 sides of a right triangle that form the right angle. hypotenuse – the side opposite the right angle in a right triangle. (longest)

Vocabulary Pythagorean Theorem – in a right triangle, the square of the length of the hypotenuse c is equal to the sum of the squares of the lengths of the legs a and b. a2+b2=c2 converse – the parts of the Pythagorean Theorem reversed. Is a triangle a right triangle? Pythagorean triple – a set of three integers that satisfy the Pythagorean Theorem. 3-4-5 original triple

Find the Length of the Hypotenuse

Find the Length of a Leg

Examples

Examples

Identify a Right Triangle

Assignment 3-4 PS (e) 3-5 PS (e) 3-5 E (ec) Chapter 3 TEST – 10/9