similar right triangles within right triangles
Post on 30-Dec-2015
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Similar Right Triangles within Right Triangles
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If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.
If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.
If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.
If an altitude (perpendicular line) is drawn from a right angle to the hypotenuse, it makes three similar triangles.
Match the numbers to label new triangles.
64
36x
x
36
64
This triangle in not helpful, so we won’t use it.
36
100
x
x
64+ 36 = 100
Solve for x using proportions:
100 x . =x 36
The inverse of a square is a square-root.
36
100
x
x
100 x . =x 36
x2 = 3600
x2 = 3600
x = 60
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