Pyth Thm Converse

M217 Name: _________________________________
5.7 Notes
Pythagorean CONVERSE Partner: ________________________________
Read and follow the directions below.
If you have a question:
Ask your partner and at least two other groups before you ask me. ASK 3 BEFORE ME
1) Complete the following problems and answer the questions that follow.
Find the missing side lengths of the Right triangles.
i) ii) iii) 5
12 20 5
13 9
What theorem do we use to find a missing side in a right triangle? _________________________
What does this theorem state? _____________________________________________________
2) Look at problems i, ii, and iii what do you notice about the Hypotenuse (C)?
The Hypotenuse (C) is always the ____________________ side. (Remember this)
3) Open the zip-lock bag provided by your teacher and on the back side of this worksheet,
YOU MUST do the following w/ the triangles in the bag:
a) Identify the missing angle measure.
b) Classify the triangle given its angle measures.
(Mark each triangle in its designate area)
c) Identify each side as a, b, and c. (Hint: look at #2 for what side C is)
d) Calculate
e) Calculate

RIGHT TRIANGLES:
Triangle # _______ Triangle # ________
Missing angle = _________ Missing angle = _________
a = _____ b = ______ c = _______ a = _____ b = ______ c = _______
=______ =_______ =______ =_______
If is ________________ to then it is a right triangle.
(Insert symbol into the space provided below)
IF THEN it is a ______________________.
ACUTE TRIANGLES:
Triangle # _______ Triangle # ________
Missing angle = _________ Missing angle = _________
a = _____ b = ______ c = _______ a = _____ b = ______ c = _______
=______ =_______ =______ =_______
If is _____________ ________ then it is a right triangle.
(Insert symbol into the space provided below)
IF THEN it is a ______________________.

OBTUSE TRIANGLES:
Triangle # _______ Triangle # ________
Missing angle = _________ Missing angle = _________
a = _____ b = ______ c = _______ a = _____ b = ______ c = _______
=______ =_______ =______ =_______
If is _____________ ________ then it is a right triangle.
(Insert symbol into the space provided below)
IF THEN it is a ______________________.
4) Given the side lengths determine if the following triangles are
Right, Acute, Obtuse or Not a triangle.
What must be true for three sides to make a triangle?
The _________ of any two sides must be _________________ then the third side.
a) 6, 7, 10 b) 9, 40, 41 c) 20, 12, 8 d) , √,