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A triangular plot of land has sides that measure 5 meters 7 meters and 10 meters What is the area of this plot of land to the nearest tenth of a square meter?
This is NOT a Pythagorean triangle.
So we must fall back on the Cosine Rule for an agular value.
Cosine Rule is a^(2) = b^(2) + c^(2) - 2bcCosA
Algebraically rearranging
CosA = [a^(2) - b^(2) - c^(2)] / -2bc
Substituting
CosA = [10^(2) - 7^(2) - 5^)2)] / -(2(7)(5))
CosA = [100 - 49 - 25]/-70
CosA = 26/-70
CosA = -0.371428571...
A = Cos^(-1) -0.371428573
A =111.8037 481 ... degrees. -
Now area of triangle is 0.5 X Base X height
The height is = 7Sin(111.8037481...)
Hence are is 0.5(5)(7)Sin(111.8037481...)
Area = 16.248... m^(2)
What else can I help you with?
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This is an invalid conversion: square meters is a measure of area and cubic meters is a measure of volume.
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Invalid conversion: square meters is a measure of area and meters is a measure of length or distance.
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This is an invalid conversion: square meters is a measure of area and meters is a measure of length or distance.
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Invalid conversion: square meters is a measure of area and meters is a measure of length or distance.
How many square meters in 25 meters?
Invalid conversion: square meters is a measure of area and meters is a measure of length or distance.
How do you calculate linear meters from square meters?
This is an invalid conversion: square meters is a measure of area and meters is a measure of length or distance.
How many square meters in 12729 meters?
Invalid conversion: square meters is a measure of area and linear meters is a measure of length or distance.
What is 40 square meters in lineal meters?
Invalid conversion: square meters is a measure of area and linear meters is a measure of length or distance.
