SPECIAL RIGHT TRIANGLES-
PRACTICE WITH
45-45-90 TRIANGLES
Use the special t>roperties you have learned abouc 45-45-90 triangles co find the
missing lengths of the triangles below. Here are the properties as a reminder.
45-45-90
Any right triangle comains a 90· angle. The remaining two angles must add up to 90·.
When the cwo angles are each 45·, we have a special rriangle called ,a 45·45·90 triangle.
lhe properties of 0 45·45·90
triangle are, as follows:
1) both legs are equal in length;
11 both legs ore equol in length;
.21 the hypotenuse
1.
is ;ff times the length of a leg.
4.
our< SPECIAL
2J the hypotenuse is ,f2 times the length of a leg.
TODAY IS A
45-45-90
TRIANGLE
WITH A BIG,
STEAMING
BOWL OF
HYPOTENUSE
STEW, HON!
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SPECIAL RIGHT TRIANGLES-
MORE PRACTICE WITH
30-60-90 TRIANGLES
30-60-90
Any right triangle contains a 90' angle. The remaining cwo.angles m~sc add up co 90'.
When the other cwo angles are 30' and 60', we have a speclalnghc mangle called a
30·60-90 triangle.
Review rhe special properries of30-60-90 triangles below.
. 1) The hypotenvse is twice as long as the leg opposite the 30' angle.
Here ore the important properties of a 30-60·90 triangle:
2) The side opposite the 30' ongltf i~holfthe length of the hypotenuse.
1) the hypotenuse is twice as long as the leg opposite the 30' angle;
J) The side opposite the 60' angle is
2) the ·side opposite the 30' angle is half the length of the hypotenuse;·
{3 times the length of the shorter leg.
Find the missing lengths of the 30-60-90 triangles below.
3) the side opposite the 60'. angle is {3 times the length of the shorter leg.
J{3
1.
You can see these properties in che triangle below.
~b
""OOOOH YEAH,
THESE TRIANGLES
ARE SO SPECIAL.
YEAH/ THAT'S IT.
2IO~
z
Find the missing sides in the 30-60-90 triangles below.
2.
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h
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