Basic Geometry : How to find the length of the hypotenuse of a 45/45/90 right isosceles triangle : Pythagorean Theorem
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Example Questions
Example Question #21 : 45/45/90 Right Isosceles Triangles
Find the length of the hypotenuse.
To find the hypotenuse of a triangle, you can use the Pythagorean Theorem. For any right triangle with leg lengths of 
Now, plug in the values of 
Solve.
Simplify.
Example Question #21 : Triangles
A right isosceles triangle has leg lengths of 
Recall the Pythagorean Theorem:
Since we know that this is an isosceles right triangle, we know the following:
The Pythagorean Theorem can then be simplifed to the following equation:
Now, solve for 
Now, plug in the given value for 
Example Question #1001 : Plane Geometry
A right isosceles triangle has leg lengths of 
Recall the Pythagorean Theorem:
Since we know that this is an isosceles right triangle, we know the following:
The Pythagorean Theorem can then be simplifed to the following equation:
Now, solve for 
Now, plug in the given value for 
Example Question #1005 : Basic Geometry
A right isosceles triangle has leg lengths of 
Recall the Pythagorean Theorem:
Since we know that this is an isosceles right triangle, we know the following:
The Pythagorean Theorem can then be simplifed to the following equation:
Now, solve for 
Now, plug in the given value for 
Example Question #1006 : Basic Geometry
A right isosceles triangle has leg lengths of 
Recall the Pythagorean Theorem:
Since we know that this is an isosceles right triangle, we know the following:
The Pythagorean Theorem can then be simplifed to the following equation:
Now, solve for 
Now, plug in the given value for 
Example Question #1007 : Basic Geometry
A right isosceles triangle has leg lengths of 
Recall the Pythagorean Theorem:
Since we know that this is an isosceles right triangle, we know the following:
The Pythagorean Theorem can then be simplifed to the following equation:
Now, solve for 
Now, plug in the given value for 
Example Question #1008 : Basic Geometry
A right isosceles triangle has leg lengths of 
Recall the Pythagorean Theorem:
Since we know that this is an isosceles right triangle, we know the following:
The Pythagorean Theorem can then be simplifed to the following equation:
Now, solve for 
Now, plug in the given value for 
Example Question #21 : Triangles
A right isosceles triangle has leg lengths of 
Recall the Pythagorean Theorem:
Since we know that this is an isosceles right triangle, we know the following:
The Pythagorean Theorem can then be simplifed to the following equation:
Now, solve for 
Now, plug in the given value for 
Simplify.
Example Question #22 : Triangles
A right isosceles triangle has leg lengths of 
Recall the Pythagorean Theorem:
Since we know that this is an isosceles right triangle, we know the following:
The Pythagorean Theorem can then be simplifed to the following equation:
Now, solve for 
Now, plug in the given value for 
Simplify.
Example Question #22 : Triangles
A right isosceles triangle has leg lengths of 
Recall the Pythagorean Theorem:
Since we know that this is an isosceles right triangle, we know the following:
The Pythagorean Theorem can then be simplifed to the following equation:
Now, solve for 
Now, plug in the given value for 
Simplify.
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