Step of construction
AB = 5.6 cm
BC = 6.2 cm
(a)
1. Draw a line segment AB = 5.6 cm
2. At B, draw a ray making an angle of 135°
3. Draw line segment for BC = 6.2 cm
4. Join AC
Measure length AC and angle BCA
Obtuse Scalene Triangle
AB = 5.6cm
BC = 6.2cm
AC = 10.9cm
°
(b) Draw a perpendicular from C to meet B
(c) Construct a circle circumscribing triangle BCD
Radius would be equal to r = 5 cm
(d) Area of BCD
BD = 5.6/2 = 2.8cm
h = BC*sin(45) = 6.2*sin(45) = 4.38cm
A = BD*h/2 = 2.8*4.38/2 = 6.13cm^2
