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M217 Name: _________________________________<br />
5.7 Notes<br />
<strong>Pyth</strong>agorean CONVERSE Partner: ________________________________<br />
Read and follow the directions below.<br />
If you have a question:<br />
Ask your partner and at least two other groups before you ask me. ASK 3 BEFORE ME<br />
1) Complete the following problems and answer the questions that follow.<br />
Find the missing side lengths of the Right triangles.<br />
i) ii) iii) 5<br />
12 20 5<br />
13 9<br />
What theorem do we use to find a missing side in a right triangle? _________________________<br />
What does this theorem state? _____________________________________________________<br />
2) Look at problems i, ii, and iii what do you notice about the Hypotenuse (C)?<br />
The Hypotenuse (C) is always the ____________________ side. (Remember this)<br />
3) Open the zip-lock bag provided by your teacher and on the back side of this worksheet,<br />
YOU MUST do the following w/ the triangles in the bag:<br />
a) Identify the missing angle measure.<br />
b) Classify the triangle given its angle measures.<br />
(Mark each triangle in its designate area)<br />
c) Identify each side as a, b, and c. (Hint: look at #2 for what side C is)<br />
d) Calculate <br />
e) Calculate
RIGHT TRIANGLES:<br />
Triangle # _______ Triangle # ________<br />
Missing angle = _________ Missing angle = _________<br />
a = _____ b = ______ c = _______ a = _____ b = ______ c = _______<br />
=______ =_______ =______ =_______<br />
If is ________________ to then it is a right triangle.<br />
(Insert symbol into the space provided below)<br />
IF THEN it is a ______________________.<br />
ACUTE TRIANGLES:<br />
Triangle # _______ Triangle # ________<br />
Missing angle = _________ Missing angle = _________<br />
a = _____ b = ______ c = _______ a = _____ b = ______ c = _______<br />
=______ =_______ =______ =_______<br />
If is _____________ ________ then it is a right triangle.<br />
(Insert symbol into the space provided below)<br />
IF THEN it is a ______________________.
OBTUSE TRIANGLES:<br />
Triangle # _______ Triangle # ________<br />
Missing angle = _________ Missing angle = _________<br />
a = _____ b = ______ c = _______ a = _____ b = ______ c = _______<br />
=______ =_______ =______ =_______<br />
If is _____________ ________ then it is a right triangle.<br />
(Insert symbol into the space provided below)<br />
IF THEN it is a ______________________.<br />
4) Given the side lengths determine if the following triangles are<br />
Right, Acute, Obtuse or Not a triangle.<br />
What must be true for three sides to make a triangle?<br />
The _________ of any two sides must be _________________ then the third side.<br />
a) 6, 7, 10 b) 9, 40, 41 c) 20, 12, 8 d) , √,