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Geometry Prep Worksheet Mathematician: 58: 454590 Triangles Date: Period: Complete the following table for the 454590 triangles using exact simplified radical values. Leg 1 Ratiosx1)9Leg 2Hypotenuse8
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01
To fill out a 45-45-90 geometry example, follow these steps:
02
Draw a right triangle with one angle measuring 90 degrees.
03
Label the two other angles as 45 degrees each.
04
Use a protractor to measure and mark the angles accurately.
05
Determine the lengths of the triangle's sides.
06
Label one side as 'x'.
07
Since it is a 45-45-90 triangle, the two shorter sides are congruent.
08
Use the Pythagorean theorem to find the length of the hypotenuse.
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The equation is x^2 + x^2 = c^2, where c is the length of the hypotenuse.
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Simplify the equation to 2x^2 = c^2.
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Take the square root of both sides to find the value of c.
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The final equation is c = √(2x^2).

Who needs geometry examples - 45-45-90?

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Geometry examples - 45-45-90 are helpful for:
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- Students studying geometry to understand the properties of this specific triangle.
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- Teachers who need resources to teach and explain 45-45-90 triangles.
04
- Anyone interested in geometry and looking for practical applications of these triangles.
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- Architects and engineers who use geometric principles in their designs.
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- Problem solvers who enjoy solving puzzles involving angles and triangle properties.
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The 45-45-90 triangle is a special type of right triangle where the two legs are of equal length, and the angles are 45 degrees, 45 degrees, and 90 degrees. It follows the ratio of 1:1:√2 for its sides.
Individuals or students studying geometry or engaging in mathematical studies that include the properties of 45-45-90 triangles may be required to file examples demonstrating their understanding.
To fill out geometry examples for a 45-45-90 triangle, identify the lengths of the legs, use the formula to calculate the hypotenuse (leg length times √2), and provide a visual representation such as a diagram.
The purpose of geometry examples for 45-45-90 triangles is to illustrate the properties, relationships, and applications of this specific triangle in geometric problems and real-life situations.
Information that must be reported includes the lengths of the legs, the hypotenuse, the angles, and any relevant calculations that demonstrate the properties of the triangle.
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