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

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

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1

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

CORRECT

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Explanation

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

Thus, the solution is:

2

Obtuse_isos_tri

Find the hypotenuse of the obtuse isosceles triangle shown above.

CORRECT

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Explanation

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

Thus, the solution is:

3

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

CORRECT

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Explanation

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

Thus, the solution is:

4

Isos_obtus_tri_dos

Find the hypotenuse of the obtuse isosceles triangle shown above.

CORRECT

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Explanation

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

Thus, the solution is:

5

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

CORRECT

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Explanation

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

Thus, the solution is:

6

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

CORRECT

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Explanation

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

Thus, the solution is: