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45-45-90 right triangles

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1. Find the length of the hypotenuse in a 45-45-90 triangle with a leg of 31 yd. ... Find the perimeter of a right triangle with an45 degree angle and a leg of 18 in. ... – PowerPoint PPT presentation

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Title: 45-45-90 right triangles


1
45-45-90 right triangles
  • Some right triangles are used so frequently that
    it is helpful to remember some of their
    properties.
  • These triangles are called special right
    triangles
  • The 2 most common are the 45-45-90 triangle and
    the 30-60-90 triangle.
  • Since the 45-45-90 triangle has 2 angles with
    equal measures, it is also an isosceles right
    triangle

2
Properties of a 45-45-90 triangle side lengths
  • In a 45-45-90 right triangle, both legs are
    congruent and the length of the hypotenuse is the
    length of the leg multiplied by

3
Finding side lengths in a45-45-90 triangle
  • Use the properties to find the length of the
    hypotenuse of the triangle
  • The length of the hypotenuse is equal to the
    length of the leg times

45
2 in
4
Finding side lengths
  • Find the length of a leg of the triangle
  • The length of the hypotenuse is the length of the
    leg times

3 ft
45
5
Finding perimeter of a 45-45-90 triangle
  • Find the perimeter
  • 12 12 ? Perimeter

12 yd.
45
6
  • Though it is faster to use the properties of
    45-45-90 triangles to find unknown lengths, the
    Pythagorean theorem can still be used

7
Applying Pythagorean theorem
  • Find the length of the missing sides using
    Pythagorean theorem

125 ft
45
8
review
  • 1. Find the length of the hypotenuse in a
    45-45-90 triangle with a leg of 31 yd.
  • 2.Find the length of a leg in a 45-45-90 triangle
    if the hypotenuse is 63 m.
  • 3. Find the perimeter of a right triangle with
    an45 degree angle and a leg of 18 in.
  • 4. A square building has a diagonal of 150 feet.
    What would be the square footage of 1 floor of
    the building.
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