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Vika [28.1K]
3 years ago
11

Find the area of the smallest side of the right triangle. Show your work. Box your answer.

Mathematics
1 answer:
lawyer [7]3 years ago
4 0

Answer:

25 ft²

Step-by-step explanation:

The hypotenuse = \sqrt{169} = 13 ft

the side with area 144 ft² = \sqrt{144} = 12 ft

Using Pythagoras' identity to find the third side x ( smallest )

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = \sqrt{25} = 5

Thus area of smallest side = 5² = 25 ft²

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