The Pythagorean Theorem

The Pythagorean Theorem Evann W. Grade 8 - Ms. McClellan A Right Triangle

What is it ? ,[object Object],[object Object],[object Object],[object Object],Altitude Hypotenuse Base A right triangle 

Using the Pythagorean Theorem ,[object Object],In this triangle, the altitude measures 6cm, the base is 8cm and the hypotenuse is 10cm. To figure out if this is a right angle triangle, keep in mind that the theorem states A 2 +B 2 =C 2 . 6cm 2 +8cm 2 =10cm 2 (you now need to find out if this is true) 6 cm 10 cm 8 cm 36 + 64 = 100 Since 6cm 2 + 8cm 2 accurately equals 10cm 2 , this shows that the triangle is a right angle triangle.

Finding the Missing Hypotenuse ,[object Object],5 cm 12 cm C If the base is 12 cm and the altitude is 5 cm, what is the length of the hypotenuse? A 2 + B 2 = C2 5cm 2 + 12cm 2 = C2 25 + 144 = C 169 = C 13 = C Square the numbers  Find the square route of 169 to get the answer  (the missing hypotenuse) The missing hypotenuse is 13 cm

Finding the Missing Altitude/Base ,[object Object],A 20 cm 12 cm If the hypotenuse of the triangle is 20 cm and the base is 12 cm, what is the altitude? A 2 + B 2 = C 2 A 2 + 12cm 2 = 20 cm 2 A + 144cm = 400 cm 400 cm – 144 cm = A 256 cm = A 16 = A The missing altitude is 16cm Square the numbers  Find the square route of 256 for the answer 

The Pythagorean Theorem

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The Pythagorean Theorem