Area of a Triangle side (a) 17 yd , side (b) 48 ft and with angle (γ) = 20 degrees Calculator
Area of Triangle 17 yards by 48 foot is 131.2718778 foot2 or 148.1936433 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 17 yards by 48 foot is 131.2718778 foot2 or 148.1936433 yards2.
Area of a Triangle side (a) 17 yd , side (b) 48 ft and with angle (γ) = 20 degrees in other units
| Value | unit |
|---|---|
| 0.120035 | km2 |
| 0.0745865 | mi2 |
| 120.0350051 | m2 |
| 393.8156334 | ft2 |
| 4725.7876008 | in2 |
| 131.2718778 | yd2 |
| 12003.500506 | cm2 |
| 120035.0050603 | mm2 |
Steps:
Given that Side (a) = 17 yd , Side (b) = 48 ft and with Angle(γ) = 20 degrees
We know that, Area = 1/2 * a * b * sin(γ)
Unit Conversion of Width 48 ft = 16.0 yd
48 Feet is 16.0 yards
To convert Feet to Yards
we know that, 1 Foot = 0.333333 or
1 Foot = 1/3 Yards
To convert Feet to Yards, divide the feet value by 3
Result in Yards: 48 × ft/yd × ft/yd
Cancel The Comman factor of ft
Result in Yards: 48/3 yd
Divide the 48 by 3
Result in Yards: 16.0 yards
∴ 48 Feet = 16.0 yards
A = 1/2 * 16.0 * 48 * sin(20°)
Simplify each term
A = 131.2718778 yd²
∴ Area of a Triangle side (a) 17 yd , side (b) 48 ft and with angle (γ) = 20° degrees is 131.2718778 yd²
or
Unit Conversion of Length 17 yd = 51.0 ft
17 Yards is 51.0 foots
To convert Yards to Foot
we know that, 1 Yards = 3 Feet
To convert Yards to Foot, multiply the yard value by 3.
Result in Feet: 17 yd x 3 × ft/yd
Cancel The Comman factor of yd
Result in Feet: (17 x 3 ft)
Multiply 17 into 3
Result in Feet: 51.0 feets
∴ 17 Yards = 51.0 foots
A = 1/2 * 17 * 51.0 * sin(20°)
Simplify each term
A = 148.1936433 ft²
∴ Area of a Triangle side (a) 17 yd , side (b) 48 ft and with angle (γ) = 20° degrees is 148.1936433 ft²