Transcript Hypotenuse Leg (HL)

Hypotenuse Leg (HL)
Other Possibilities? SSA
Will this ever Work?
30
Special Case of SSA

Given a right angle, one leg, & the
hypotenuse - Does this prove the triangles
congruent?
S
S
A
Yes – Remember Pythagorean
Theorem

a 2 + b 2 = c2
c’
c
a
b
a’
b’


a 2 + b 2 = c2
Because of Pythagorean thm. a
must = a’
5
a
3

This gives SSS @
5
a’
3
HL @ Theorem

If the hyp & leg of one right /\ are
@ to the hyp & leg of another right
/\ then the /\ are @.
B
1
A
2
C
Exercise 21
3
F
Given:

<A @ <D

AF @ DC

AC @ DF

<BFA @ <ECD
Prove:

4
E
/\ AFB @ /\ DCE
D
B
1
A
2
C
Exercise 22
3
F
Given:

<1 @ <4

AF @ DC

<A @ <D
4
E
Prove:

/\ AFB @ /\ DCE
D