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

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Question

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

Answer

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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Question

Obtuse_isos_tri

Find the hypotenuse of the obtuse isosceles triangle shown above.

Answer

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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Question

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

Answer

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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Question

Isos_obtus_tri_dos

Find the hypotenuse of the obtuse isosceles triangle shown above.

Answer

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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Question

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

Answer

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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Question

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

Answer

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

Thus, the solution is:

Compare your answer with the correct one above

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