The Pythagorean Theorem

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The Pythagorean Theorem

MATH 4 10-GLUON

​9 November 2021

In a right ​triangle, the square of the hypotenuse is equal to the sum of the squares of its legs.

​CONVERSE OF THE PYTHAGOREAN THEOREM

If the square of the longest side of the triangle is equal to the sum of the squares of the two other sides, then the triangle is a right triangle and the right angle is opposite the longest side.

Fill in the Blanks

Given the lengths of the legs of the triangle, find the length of the hypotenuse

3 and 4

Fill in the Blanks

Given the lengths of the legs of the triangle, find the length of the hypotenuse

1 and $\sqrt{3}\$  

Fill in the Blanks

Given the lengths of two sides of a right triangle, find the of the third side.

$a=12,\ c=\ 13,\ b=\ ?$  

Fill in the Blanks

Given the lengths of two sides of a right triangle, find the of the third side.

$b=24,\ c=\ 25,\ a=\ ?$  

Poll

Which of the following is/are sides of a right triangle?

• 3,4,6

• 5,12,13

• $$\sqrt{2}$$  ,1,1

• 2,2,2

• 1, $$\sqrt[]{6}$$  ,2

​Pythagorean Triples

​Generating Pythagorean triples

​-multiple of the primitive triples

​Special Right Triangles

Special Right Triangles

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