Const ruction: 45°-4 5°-9 0° t r iangle
Construct a 45°-45°-90° Triangle with a leg the
length of the given segment.
1) Draw segment QR as the given length of the
leg of the right triangle.
2) Extend ray RQ to construct the
perpendicular to QR , through point Q.
3) Put the compass point on Q, keeping the
same width as segment QR, strike an arc
from point R through the perpendicular line.
Name the point of intersection point P.
4) Draw a segment from P to R as the
hypotenuse of the 45°-45°-90° right
triangle.
Now, PQR is a 45°-45°-90° triangle.
Q
R
A
B
X
Y
J
K