Transcript Special Right Triangles

Special Right Triangles
Theorem 7.6 – Isosceles
Right Triangle
Theorem
• In an isosceles right
triangle, the length of
the hypotenuse is 2
times the length of a
leg.
BC = 6.01* 2 cm
C
m CA = 6.01 cm
mCAB = 90.00 
A
m AB = 6.01 cm
B
WALLPAPER TILING If each 45°-45°-90° triangle in
the figure has a hypotenuse of
millimeters, what
is the perimeter of the entire square?
Answer: 80 mm
Find b.
Answer:
Special Right Triangles
Theorem 7.7 - 30-60-90
Theorem
• In a 30-60-90 triangle, the
length of the hypotenuse is
twice the length of the
shorter leg, and the length
of the longer leg is 3
times the length of the
shorter leg.
BC = 6.40 cm
BD = 3.2 * 3 cm
B
mBDC = 90.00 
D
m DC = 3.20 cm
C
Find BC.
Answer: BC = 8 in.