Respuesta :
Area of a triangle = [tex]\frac{1}{2} base*height[/tex]
In a right angle triangle the two legs are the base and height of the triangle.
One angle of the triangle is 23 degree and one adjacent leg is 27.6 cm.Let the other leg opposite to 23 degree angle by x.Sine of an angle is ratio of opposite and hypotenuse. Hypotenuse is given as 30 cm.
[tex]Sin 23=\frac{x}{30}[/tex]
x= 30 sin23.
x=11.72cm.
The legs of the triangle are 11.72 cm and 27.6 cm.
Area of triangle =[tex]\frac{1}{2} x11.72 x27.6 =161.7cm^{2}.[/tex]
