In ΔWXY, w = 4.8 cm, x = 1.5 cm and ∠Y=52°. Find the area of ΔWXY, to the nearest 10th of a square centimeter.

Area = 3.0 square cm

Step-by-step explanation:

By cosine formula,

WX² = WY² + XY² - 2(WY)(XY)cos(∠W)

WX² = (1.5)² + (4.8)² - 2(1.5)(4.8)cos(52°)

WX² = 2.25 + 23.04 - 8.866

WX = √(16.424)

WX = 4.05 cm

Since, area of a triangle with known sides =

Here, s =

And a, b, c are the sides of the triangle

By this formula,

s =

s = 5.2

Therefore, area of the triangle XYZ =

=

=

= 2.97

≈ 3.0 square cm

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