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Right Triangles

The Good Old Pythagorean Theorem

right triangle | proof of the pythagorean theorem | Hypotenuse of a right triangle | geometric mean
Right triangle picture A right triangle has one 90° angle and a variety of often-studied properties such as:    
A Right Triangle's Hypotenuse
The hypotenuse is the largest leg in in a right triangle and is always opposite the right angle. (Only right triangles have a hypotenuse)

In the triangle on the left, the hypotenuse is the side AB which is opposite the right angle, angleACB.
The Pythagorean Theorem | Geometric Proof of Pythagorean Theorem
The pythagorean theorem : the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.
    Usually, this theorem is expressed as a2+b2=c2
In the right triangle on the left, A2+ B2= C2
The Pythagorean Theorem Practice Problems
What is the value of x in the picture on the left?
Answer


  
What is the value of x in the picture on the left?
Answer
What is x in the triangle on the left?
Answer
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