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2 years ago

PLEASE HELP ME!!

Mathematics

1 answer:

Mamont248 [21]2 years ago

4 0

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

b = base
h = height

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

#SPJ1

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