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Please round ALL answers to two (4) decimal places. SOLVE Obtuse Triangle: A ABC where Please find a= and c= and:

a) a = 0.0000, c = 0.0000
b) a = 0.0000, c = 0.0000
c) a = 0.0000, c = 0.0000
d) a = 0.0000, c = 0.0000

1 Answer

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Final answer:

The area of a triangle with a base of 1.007 m and a height of 0.665 m is approximately 33.5 cm² when expressed to the proper number of significant figures (three).

Step-by-step explanation:

To solve for the area of a triangle with a base of 1.007 m and a height of 0.665 m, we use the formula Area = 1/2 × base × height. For these measurements, the area would be:

Area = 1/2 × 1.007 m × 0.665 m = 0.334675 m² or 33.4675 cm²

Considering significant figures, the base has four significant figures and the height has three; therefore, the area should be reported with three significant figures because the number with the fewest significant figures used in the calculation is three.

Thus:

Area ≈ 33.5 cm²

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