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Name Class Date Practice 112 The Pythagorean Theorem Can you form a right triangle with the three lengths given? Show your work. 2. 7, 11, 12 3. 10, 2 !11, 12 4. 28, 45, 53 5. 9, !10, 10 6. 10, 15,.

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  5. Review each question carefully, starting from question 1, where you need to determine if you can form a right triangle with the given lengths. Show your work for clarity.
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In a right triangle, a 2 + b 2 = c 2, where a and b are the lengths of the legs and c is the length of the hypotenuse. This is called the Pythagorean theorem.

0:00 14:15 Geometry (Topic 7-2) Pythagorean Theorem - YouTube YouTube Start of suggested clip End of suggested clip That's one of our legs. That's the other leg. And this my partner's notice the hypotenuse. ItsMoreThat's one of our legs. That's the other leg. And this my partner's notice the hypotenuse. Its opposite the right angle that way you always know which ones hypotenuse and the legs.

0:10 5:35 Grade 8 Math #12.1b, Using the Pythagorean Theorem - YouTube YouTube Start of suggested clip End of suggested clip It doesn't matter remember which we label a or b. But i always have a tendency to make a theMoreIt doesn't matter remember which we label a or b. But i always have a tendency to make a the shortest. Side so that's six and b would be 8. Okay well if a squared plus b squared equals c squared.

The formula for the Pythagorean theorem is the sum of the squares of the two legs equal to the square of the hypotenuse. Mathematically, the formula is a2+b2=c2 a 2 + b 2 = c 2 , where a and b are the legs and c is the hypotenuse.

0:05 1:56 Pythagorean Theorem | MathHelp.com - YouTube YouTube Start of suggested clip End of suggested clip We can set up the equation 6 squared plus 8 squared equals x squared simplifying from here 6 squaredMoreWe can set up the equation 6 squared plus 8 squared equals x squared simplifying from here 6 squared is 6 times 6 or 36. And 8 squared is 8 times 8 or 64.

1:08 1:59 The sum of the square of the sides. Is equal to the square of the hypotenuse. So let's just callMoreThe sum of the square of the sides. Is equal to the square of the hypotenuse. So let's just call this a B and C. So let's give our sides all these sides of a triangle a name.

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