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Find the length of the diagonal of the rectangle.

Round your answer to the nearest tenth. The height of the rectangle is 7 meters. The length is 9 meters

Find the length of the diagonal of the rectangle. Round your answer to the nearest-example-1

1 Answer

5 votes

Answer:

≈ 11.4 m

Explanation:

The diagonal splits the rectangle into 2 right triangles , with legs 7 and 9 and the diagonal the hypotenuse.

Using Pythagoras' identity with h as the diagonal, then

h² = 7² + 9² = 49 + 81 = 130 ( take the square root of both sides )

h =
√(130) ≈ 11.4 m ( to the nearest tenth )

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