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Geometry 5.8 Worksheet: Special Right Triangles 454590Name___Find the lengths of the indicated sides. SHOW ALL WORK. 1.ABC ___5 45PAC ___ 45B Leg(x)3.2.C455 2Hypotenuse x 2NLeg(x)4. MN ___AB45 10AB

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How to fill out 58 special right triangles

01

Identify the angle measures: 30 degrees, 60 degrees, and 90 degrees for the special right triangles.

02

Determine the ratio of the sides for each special right triangle: 30-60-90 triangle has side lengths in the ratio 1:√3:2 and 45-45-90 triangle has side lengths in the ratio 1:1:√2.

03

Use the ratios to calculate the side lengths of the triangles by multiplying the ratios to a given side length or angle measure.

Who needs 58 special right triangles?

01

Students studying geometry or trigonometry may need to fill out 58 special right triangles to practice and understand the properties of these triangles.

02

Architects and engineers may need to use special right triangles in design and construction projects that require precise calculations of angles and side lengths.

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