The exact height of the triangle is 20.8ft
The area of the right tringle in radical form is 72√3 ft²
The area of the triangle in decimal form is 124.7 ft²
<h3>How to find the side and area of a right angle triangle?</h3>
The side XY or height of the triangle can be found as follows:
Using trigonometric ratios,
tan 60° = XY / 12
XY = 12 tan 60°
XY = 12 × 1.73205080757
XY = 20.7846096908
height = 20.8ft
The area of XYZ = 1 / 2 bh
where
Therefore,
The area of XYZ = 1 / 2 × 12 × 20.8 = 124.707658145 = 124.7 ft²
The area in radical form = 1 / 2 × 12 × 12 tan 60°
The area in radical form = 1 / 2 × 12 × 12 × √3 = 144√3 / 2 = 72√3 ft²
learn more on triangles here: brainly.com/question/2773823
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