10. If the hypotenuse of a right triangle is 2 cm and one leg is 3 cm, the exact length of the other leg is ______

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10. If the hypotenuse of a right triangle is 2 cm and one leg is 3 cm, the exact length of the other leg is _______ cm. A. 3 B. 1 C. 3 D. 4

If the hypotenuse of a right triangle is 2 cm and one leg is 3 cm, the exact length of the other leg is 1 cm. Hypotenuse² = Perpendicular² + Base² As given If the hypotenuse of a right triangle is 2 cm and one leg is 3 cm. Let us assume that the unknown length is x. Thus 2² = Perpendicular² + Base² 4^2=(sqrt 3)^2 + x^2 (sqrt{3})^{2} = 3 4 = 3 + x² x² = 4 -3 x = sqrt1 x = 1 cm

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Asked 2/8/2018 5:39:51 PM

Updated 6/17/2021 9:33:09 AM

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misha254

If the hypotenuse of a right triangle is 2 cm and one leg is 3 cm, the exact length of the other leg is 1 cm.

Hypotenuse² = Perpendicular² + Base²
As given

If the hypotenuse of a right triangle is 2 cm and one leg is 3 cm.

Let us assume that the unknown length is x.

Thus

2² = Perpendicular² + Base²
4^2=(sqrt 3)^2 + x^2
(sqrt{3})^{2} = 3
4 = 3 + x²
x² = 4 -3
x = sqrt1
x = 1 cm

Added 6/17/2021 9:33:09 AM

This answer has been confirmed as correct and helpful.

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