Area of a Triangle Angle(β) = 65 degrees by side(a) = 7 in with angle(γ) = 26 degrees Calculator
Area of Triangle angle (β) 65 degrees, side 7 inches and with angle (γ) 26 degrees is 9.7279758 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 = a² * sin(β) * sin(γ)/(2 * sin(β + γ)), where a is side, sin(β), sin(γ) are the angles of the given triangle. Area of Triangle angle (β) 65 degrees, side 7 inches and with angle (γ) 26 degrees is 9.7279758 inches².
Area of a Triangle Angle(β) = 65 degrees by side(a) = 7 in with angle(γ) = 26 degrees in other units
Value | unit |
---|---|
0.0002471 | km2 |
0.0001535 | mi2 |
0.2470906 | m2 |
0.8106646 | ft2 |
9.7279758 | in2 |
0.2702215 | yd2 |
24.7090585 | cm2 |
247.0905853 | mm2 |
Steps:
Given that Angle (β) = 65 degrees , Side (a) = 7 in and with Angle(γ) = 26 degrees
We Know that, Area = a² * sin(β) * sin(γ)/(2 * sin(β + γ))
Substitute the values of the angle (β) = 65 degrees , the side (a) = 7 in , and the with angle (γ) = 26 degrees into the formula
7² * sin(in) * sin(65)/(2 * sin(degrees + 26))
Simplify the above equations
A = 9.7279758 in²
∴ Area of a Triangle angle (β) 65 degrees , side (b) 7 in and with angle (γ) = 26 degrees is 9.7279758 in²