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Please answer this in two minutes

Please answer this in two minutes-example-1
User Max Sohrt
by
7.7k points

1 Answer

2 votes

Answer:

366.6 mm²

Explanation:

Step 1: find XY using the Law of sines.

Thus,


(XY)/(sin(W)) = (WY)/(sin(X))

m < W = 180 - (70+43) (sum of angles in a triangle)

W = 180 - 113 = 67°

WY = 24 mm

X = 43°

XY = ?


(XY)/(sin(67)) = (24)/(sin(43))

Cross multiply:


XY*sin(43) = 24*sin(67)


XY*0.68 = 24*0.92

Divide both sides by 0.68 to solve for XY


(XY*0.68)/(0.68) = (24*0.92)/(0.68)


XY = 32.47

XY ≈ 32.5 mm

Step 2: find the area using the formula, ½*XY*WY*sin(Y).

Area = ½*32.5*24*sin(70)

Area = ½*32.5*24*0.94

= 32.5*12*0.94

Area = 366.6 mm² (nearest tenth)

User Akash Sharma
by
8.8k points

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