Question

What the answer now hurry up and answer fast question

Answer 1

Answer:

927.0 cm²

Step-by-step explanation:

Step 1: find Z

m < Z = 180 - (28 + 118) (sum of ∆)

= 180 - 146

Z = 34°

Step 2: Find side XY using the law of sines

$\frac{XY}{sin(34)} = \frac{42}{sin(28)}$

Cross multiply

$XY*sin(28) = 42*sin(34)$

$XY*0.469 = 42*0.559$

Divide both sides by 0.469

$\frac{XY*0.469}{0.469} = \frac{42*0.559}{0.469}$

$XY = 50.06$

XY ≈ 50 cm

Step 3: find the area.

Area of ∆ = ½*XY*YZ*sin(Y)

XY ≈ 50 cm

= ½*50*42*sin(118)

= 25*42*0.8829

Area = 927.045

Area ≈ 927.0 cm² (nearest tenth)