Study: 7-4-9. Pythagorean Theorem

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1. Do the lengths 3, 4, and 5 make a perfect triangle? Prove your answer using the Pythagorean Theorem. Hint: $a^2 + b^2 = c^2$ 20 points
2. Do the lengths 5, 6, 9 make a perfect triangle? Prove your answer using the Pythagorean Theorem. Hint: $a^2 + b^2 = c^2$ 20 points
3. Find the side length of $c$ when $a = 5 \textit{ units}$ and $b = 12 \textit{ units}$. Hint: $a^2 + b^2 = c^2$ 20 points
4. What is the Pythagorean Theorem? Hint: One angle must be $90 ^{\circ}$ 40 points
5. How many degrees are in a Right Triangle? 40 points
6. In a Right Triangle, what is the name of the side across from the Right Angle? 20 points Hippopotamus Hypotenuse Huypopotenuseare None of the above
7. Which of these numbers is irrational? 20 points $\sqrt{2}$ $\sqrt{25}$ $\sqrt{49}$ $\sqrt{100}$
8. What is the name of an angle smaller than a Right Angle? 20 points Accute Obtuse Straight None of the above
9. What is the name of an angle larger than a Right Angle? 20 points Accute Obtuse Straight None of the above
10. What is the length of side $a$ if $b=12 \textit{ units}$ and $c=15 \textit{ units$}? 40 points $9 \textit{ units}$ $18 \textit{ units}$ $27 \textit{ units}$ $36 \textit{ units}$
Possible Points: 260