Area of a Triangle side (a) 8 in , side (b) 5 yd and with angle (γ) = 159 degrees Calculator
Area of Triangle 8 inches by 5 yards is 161.8564484 yards2 or 0.3197164 inches2.
The area of a triangle is defined as the total space that is enclosed by any particular triangle. The basic formula to find the area of a given triangle is A = 1/2x a × b x sin(γ), where a, b are the sides and sin(γ) is angle of the given triangle. Area of Triangle 8 inches by 5 yards is 161.8564484 yards2 or 0.3197164 inches2.
Area of a Triangle side (a) 8 in , side (b) 5 yd and with angle (γ) = 159 degrees in other units
| Value | unit |
|---|---|
| 0.0041112 | km2 |
| 0.0025546 | mi2 |
| 4.1111538 | m2 |
| 13.4880374 | ft2 |
| 161.8564484 | in2 |
| 4.4960125 | yd2 |
| 411.1153789 | cm2 |
| 4111.1537894 | mm2 |
Steps:
Given that Side (a) = 8 in , Side (b) = 5 yd and with Angle(γ) = 159 degrees
We know that, Area = 1/2 * a * b * sin(γ)
Unit Conversion of Width 5 yd = 180.0 in
5 Yards is 180.0 inches
To convert Yard to Inches
we know that, 1 Yard = 36 inches
To convert Yard to inches, multiply the yard value by 36.
Result in Yards: 5 yd x 36 × in/yd
Cancel The Comman factor of yd
Result in Inches: (5 x 36 in)
Multiply 5 into 36
Result in Inches: 180.0 inches
∴ 5 Yards = 180.0 inches
A = 1/2 * 180.0 * 5 * sin(159°)
Simplify each term
A = 161.8564484 in²
∴ Area of a Triangle side (a) 8 in , side (b) 5 yd and with angle (γ) = 159° degrees is 161.8564484 in²
or
Unit Conversion of Length 8 in = 0.2222222 yd
8 Inches is 0.2222222 yards
To convert Inche to Yards
we know that, 1 Inche = 0.02778 Yards or
1 Inche = 1/36 Yards
To convert Inche to Yards, divide the inche value by 36
Result in Foot: 8 × in/12 × yd/in
Cancel The Comman factor of in
Result in Foot: 8/36
Divide the 8 by 36
Result in Yards: 0.2222222 yards
∴ 8 Inches = 0.2222222 yards
A = 1/2 * 8 * 0.2222222 * sin(159°)
Simplify each term
A = 0.3197164 yd²
∴ Area of a Triangle side (a) 8 in , side (b) 5 yd and with angle (γ) = 159° degrees is 0.3197164 yd²