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Geometry worksheet in which students develop and a theorem relating the lengths of hypotenuses to the lengths of sides in isosceles right triangles.
Geometry worksheet in which students develop and a theorem relating the lengths of sides to the lengths of the hypotenuses in isosceles right triangles.

Activity 3.8​

Assignment 3.9

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​Assignment 7.7

​The Pythagorean Theorem and Isosceles Right Triangles

 
Objective
Develop and apply theorems relating the lengths of sides in isosceles right triangles.

About Geometry Worksheet Assignment 7.7:     

 

Assignment 7.7 is a development of theorems relating the lengths of sides in isosceles right triangles.

 

Prerequisite Skills:  Apply the Pythagorean Theorem to find lengths of sides in right triangles (Assignment 7.3).

 

Theorems:   The length of the hypotenuse of an isosceles right triangle is equal to the length of a leg multiplied by the square root of 2.

                           The length of a leg of an isosceles right triangle is equal to one-half the length of the hypotenuse multiplied by the square root of 2.

 

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