Area of a Triangle side (a) 5 yd , side (b) 29 in and with angle (γ) = 102 degrees Calculator
Area of Triangle 5 yards by 29 inches is 11.4274951 inches2 or 440.2506795 yards2.
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 5 yards by 29 inches is 11.4274951 inches2 or 440.2506795 yards2.
Area of a Triangle side (a) 5 yd , side (b) 29 in and with angle (γ) = 102 degrees in other units
| Value | unit |
|---|---|
| 0.0104493 | km2 |
| 0.0064929 | mi2 |
| 10.4493015 | m2 |
| 34.2824853 | ft2 |
| 411.3898236 | in2 |
| 11.4274951 | yd2 |
| 1044.9301519 | cm2 |
| 10449.3015194 | mm2 |
Steps:
Given that Side (a) = 5 yd , Side (b) = 29 in and with Angle(γ) = 102 degrees
We know that, Area = 1/2 * a * b * sin(γ)
Unit Conversion of Width 29 in = 0.8055556 yd
29 Inches is 0.8055556 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: 29 × in/12 × yd/in
Cancel The Comman factor of in
Result in Foot: 29/36
Divide the 29 by 36
Result in Yards: 0.8055556 yards
∴ 29 Inches = 0.8055556 yards
A = 1/2 * 0.8055556 * 29 * sin(102°)
Simplify each term
A = 11.4274951 yd²
∴ Area of a Triangle side (a) 5 yd , side (b) 29 in and with angle (γ) = 102° degrees is 11.4274951 yd²
or
Unit Conversion of Length 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 * 5 * 180.0 * sin(102°)
Simplify each term
A = 440.2506795 in²
∴ Area of a Triangle side (a) 5 yd , side (b) 29 in and with angle (γ) = 102° degrees is 440.2506795 in²