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Activity 3.8
Assignment 3.9
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Assignment 7.8
Using the Isosceles Right Triangle Theorems
Objectives
Apply the isosceles right triangle theorems.
Use the isosceles right triangle theorems to find lengths of diagonals and sides in squares.
About Geometry Worksheet Assignment 7.8:
Assignment 7.8 is practice in the application of the theorems relating the lengths of sides in isosceles right triangles.
Prerequisite Skills: Apply the Isosceles Right Triangle Theorems to find lengths of sides in right triangles (Assignment 7.7).
Theorems: The length of the hypotenuse of an isosceles right triangle is equal to the length of a leg multiplied by 2 .
The length of a leg of an isosceles right triangle is equal to one-half the length of the hypotenuse multiplied by 2 .
If an acute angle of a right triangle measures 45, then the right triangle is iscsceles.
The length of the diagonal of a square is equal to the length of a side multiplied by 2 .