### Geometry 9_4 Special Right Triangles

```GEOMETRY: Chapter 9
9.4 Special Right Triangles
Theorem 9.8 450-450-900 Triangle Theorem
In a 450-450-900 triangle, the hypotenuse is
2 times as long as each leg.
hypotenuse=leg  2
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 457.
Ex. 1: Find the length of the hypotenuse.
Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458.
Ex. 1: Find the length of the hypotenuse.
a) 12 sq root 2; b)20
Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458.
Ex. 2:
Find the length of the legs in the triangle.
Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458.
Ex. 2:
Find the length of the legs in the triangle.
Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458.
Ex. 3:
MNP is a right triangle. Find the
length of MP.
Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458.
Ex. 3:
MNP is a right triangle. Find the
length of MP.
Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458.
Theorem 9.9 300-600-900 Triangle Theorem
In a 300-600-900 triangle, the hypotenuse is
Twice as long as the shorter leg, and the longer
leg is 3 times as long as the shorter leg.
hypotenuse = 2  shorter leg
longer leg = shorter leg  3
Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 459.
Ex. 4: Alex has a team logo patch in the shape
of an equilateral triangle. If the sides of the
patch are 2½ inches long, what is the
approximate height of the patch?
Ex. 4: Alex has a team logo patch in the shape
of an equilateral triangle. If the sides of the
patch are 2½ inches long, what is the
approximate height of the patch?
Ex. 5: