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Similarity on Right
Triangle
GEOMETRIC MEANS
What is the geometric mean of 5 and
500?
= √ 5( 500)
= √2500)
= 50
• Right Triangle Similarity Theorem (RTST)
If the altitude is drawn to the hypotenuse of a
right triangle, then the two triangles formed are similar
to the original triangle and to each other.
• Special Properties of Right Triangles
When the altitude is drawn to the hypotenuse of a
right triangle,
• 1. the length of the altitude is the geometric mean
between the segments of
• the hypotenuse; and
• 2. each leg is the geometric mean between the
hypotenuse and the segment
• of the hypotenuse that is adjacent to the leg.
Things to Remember
a.Find the distance between Bryan and the
T.V set.
b.Find the distance between Bryan and
each speaker
altitude to the right triangle.pptx
altitude to the right triangle.pptx

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altitude to the right triangle.pptx

  • 2. GEOMETRIC MEANS What is the geometric mean of 5 and 500? = √ 5( 500) = √2500) = 50
  • 3.
  • 4. • Right Triangle Similarity Theorem (RTST) If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. • Special Properties of Right Triangles When the altitude is drawn to the hypotenuse of a right triangle, • 1. the length of the altitude is the geometric mean between the segments of • the hypotenuse; and • 2. each leg is the geometric mean between the hypotenuse and the segment • of the hypotenuse that is adjacent to the leg.
  • 5.
  • 6.
  • 7.
  • 9.
  • 10.
  • 11.
  • 12. a.Find the distance between Bryan and the T.V set. b.Find the distance between Bryan and each speaker