Question

the perimeter of a triangle is 0.097m and two of its sides measure 0.21dm and 42mm. determine the measurement of the third side in units of si, cgs and fps

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Brice

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101 Answers

1. Convert sides to the same unit (meters - SI):

l_1 = 0.21dm = 0.021m

l_2 = 42mm = 0.042m

2. Use the perimeter formula to find the third side:

P = l_1 + l_2 + l_3

0.097m = 0.021m + 0.042m + l_3

l_3 = 0.097m - 0.021m - 0.042m

l_3 = 0.034m

3. Convert to CGS units (centimeter-gram-second):

l_3 = 0.034m \times 100cm/m = 5.5cm

4. Convert to FPS units (foot-pound-second):

l_3 = 0.034m \times \frac{3.28084ft}{1m} \approx \frac{11}{200} ft

Answer:

l_3 = 0.034m (SI)

l_3 = 3.4cm (CGS)

l_3 = \frac{11}{200} ft (FPS)

2. Use the perimeter formula to find the third side:

3. Convert to CGS units (centimeter-gram-second):

4. Convert to FPS units (foot-pound-second):

Answer:

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