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Use triangle XYZ to answer questions 3-5.

1) Use special right triangles to help find the length of segment XY. What is the exact height of triangle XYZ?
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2)What is the exact area of triangle XYZ? Leave your answer in radical terms.
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3)What is the area of triangle XYZ to the nearest tenth of a square in?

PLEASE HELP ME Use Triangle XYZ To Answer Questions 35 1 Use Special Right Triangles To Help Find The Length Of Segment XY What Is The Exact Height Of Triangle class=

Sagot :

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

How to find the side and area of a right angle triangle?

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

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