Karissa is given three side length measurements for a triangle: 8 cm, 10 cm, and 6 cm. From this she knows that 6^2+8^2=10^2, proving it to be a right triangle. Using the converse of the Pythagorean Theorem, what would the length of the side be that is opposite the 90∘angle?
Group of answer choices

6 cm

8 cm

10 cm

100 cm

Question

Karissa is given three side length measurements for a triangle: 8 cm, 10 cm, and 6 cm. From this she knows that 6^2+8^2=10^2, proving it to be a right triangle. Using the converse of the Pythagorean Theorem, what would the length of the side be that is opposite the 90∘angle?
Group of answer choices

6 cm

8 cm

10 cm

100 cm

Bubbly · Answer

@Ultrilliam

justjm · Answer

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The side opposite to the right angle is the hypotenuse. This makes sense by the Hinge Theorem (larger the angle, longer the corresponding side).

So what is the value of the hypotenuse?