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A right triangle has side lengths 12 centimeters and 14 centimeters. Name two possible side lengths for the third side, and explain how you solved for each.

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User Nyb
by
8.2k points

2 Answers

4 votes

Answer:

If 12 and 14 are both side lengths then we solve for the hypotenuse:

hypotenuse^2 = 12^2 + 14^2

hypotenuse^2 = 144 + 196

hypotenuse^2 = 340

hypotenuse = sq root (340) = 18.4390889146

If hypotenuse = 14, then third side equals:

(3rd side)^2 = 14^2 - 12^2

(3rd side)^2 = 196 -144

(3rd side)^2 = 52

3rd side = sq root (52) = 7.2111025509

Explanation:

User Santanu Sur
by
8.4k points
3 votes

Answer:

18.4 or 7.2

Explanation:

The third side can be hypotenuse or base/perpendicular

If third side is hypotenuse

H²=B²+P²

H²= 12²+14²

H=18.4cm

If third side is base/perpendicular

14²=12² + P²

P= 7.2

User Boris Pawlowski
by
8.2k points

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