Intermediate Geometry : How to find the length of the hypotenuse of an acute / obtuse triangle

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #1 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle

An acute scalene triangle has one side length of  inches and another of  inches. Find the length of the hypotenuse. 

Possible Answers:

Correct answer:

Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where  the length of the hypotenuse. 

Thus, the solution is:







Example Question #2 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle

Obtuse_isos_tri

Find the hypotenuse of the obtuse isosceles triangle shown above. 

Possible Answers:

Correct answer:

Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where  the length of the hypotenuse. 

Thus, the solution is:





Example Question #1 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle

 A scalene triangle has one side length of  yards and another side length of  yards. Find the hypotenuse. 

Possible Answers:

Correct answer:

Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where  the length of the hypotenuse. 

Thus, the solution is:





Example Question #4 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle

Isos_obtus_tri_dos

Find the hypotenuse of the obtuse isosceles triangle shown above. 

Possible Answers:

Correct answer:

Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where  the length of the hypotenuse. 

Thus, the solution is:





Example Question #1 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle

An isosceles right triangle has two sides with a length of  inches each. Find the length of the hypotenuse. 

Possible Answers:

Correct answer:

Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where  the length of the hypotenuse. 

Thus, the solution is:







Example Question #6 : How To Find The Length Of The Hypotenuse Of An Acute / Obtuse Triangle

A scalene right triangle has one side length of  inches and another side length of  inches. Find the length of the hypotenuse. 

Possible Answers:

 

Correct answer:

Explanation:

To find the length of the hypotenuse, apply the Pythagorean Theorem: , where  the length of the hypotenuse. 

Thus, the solution is:





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