Question

Please answer it now in two minutes

Answer 1

Answer:

Area of the triangle WXY = 365.3 mm²

Step-by-step explanation:

By applying Sine rule in the given triangle XYW,

$\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinX}}{\text{YW}}$

$\frac{\text{Sin70}}{\text{WX}}=\frac{\text{Sin43}}{\text{24}}$

WX = $\frac{24.\text{Sin70}}{\text{Sin43}}$

      = 33.068 mm

      = 33.07 mm

Area of a triangle = $\frac{1}{2}a.b.\text{Sin}\theta$

where a and b are the sides of the triangle and θ is the angle between the sides a and b.

Area = $\frac{1}{2}(33.07)(24)\text{SinW}$

Since, m∠X + m∠Y + m∠W = 180°

m∠W =  180 - (43 + 70)

         = 67°

Area of the triangle WXY = $12\times (33.07)\text{Sin67}$

                                          = 365.29 mm²

                                           ≈ 365.3mm²