2.
Sample answer: Draw a line using a ruler. Then
use a protractor to measure a 90° angle. On one
ray mark a 2 cm length, and at that endpoint use
the protractor to measure a 30° angle toward the
other ray. Where this ray intersects the other ray
should form a 60° angle, completing the 30°60°
90° triangle with sides 2 cm, 2
3cm, and a
hypotenuse of 4 cm.
3.
The diagonal is twice as long as its width
w
, so
the diagonal forms a 30°60°90° triangle with the
length
and the width
w
. Then the length of the
rectangle is
3 times the width, or
3
w
.
4.
The triangle is a 45°45°90° triangle. The legs are
congruent, so
x
3. The length of the hypotenuse
is
2 times the length of the leg, so
y
3
2.
5.
The triangle is a 45°45°90° triangle. The legs are
congruent, so
x
y
. The length of the hypotenuse
is
2 times the length of the leg.
10
¬
x
2
10
2
¬
x
10
2
2
2
¬
x
10
2
2
¬
x
5
2
¬
x
So,
x
5
2 and
y
5
2.
6.
The triangle is a 30°60°90° triangle.
y
is the
measure of the hypotenuse and
x
is the measure
of the longer leg.
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Pythagorean Theorem, Height, Hypotenuse

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