In the figure below, find the area of Triangle XYZ. Ans: ___ cm2^2

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Worked solution

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1. Identify the base and the corresponding perpendicular height of Triangle XYZ

Taking YZYZ as the base of Triangle XYZXYZ, the base length is 8 cm8\text{ cm}.
The corresponding perpendicular height from XX to the line extending YZYZ is XWXW, which is 9 cm9\text{ cm}.

2. Calculate the area of Triangle XYZ

Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
Area=12×8×9=36 cm2\text{Area} = \frac{1}{2} \times 8 \times 9 = 36\text{ cm}^2

Answer

3636

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