2. The picture below shows the formula for the
Pythagorean theorem. In the picture
below, side C is always the hypotenuse.
Remember that this formula only applies to
right triangles.
c
A² + B² = C²
a
b

3. The Triangle below is a 3,4,5
A² + B² = C²
3² + 4² = 5²
9 + 16 = 25
Image taken from:
http://www.mathsisfun.com/pythagoras.html

4. Step 1) Identify the legs and the hypotenuse of the right triangle.
The legs have length '6 and '8' . 'X' is the hypotenuse because it is opposite the right
angle.
Step 2) Substitute values into the formula (remember 'c' is the hypotenuse)
A2 + B2 = C2
62 + 82 = X2
Step 3) Solve for the unknown
6²+8²=x²
100=x²
√100=x x
X=10 6
8

5. Step 1) Identify the legs and the hypotenuse of the right triangle.
The legs have length '24' and 'X' are the legs. The hypotenuse is 26.
Step 2) Substitute values into the formula (remember 'c' is the hypotenuse)
A2 + B2 = C2
x2 + 242 = 262
Step 3) Solve for the unknown
x²+24²=26²
x²+576=676
x²=676-576
x²=100
x=√100 26
x=10 x
24

6. c²=a²+b²
The converse of the Pythagorean Theorem
helps you to find out if a triangle is right.
Basically, the converse states that
whenever the sum of the squares of two
sides equal to the square of the third side
of the triangle, the triangle is a right
triangle

7. Do the sides 6, 8, and 10 form a right
triangle?
Is 102 = 62 + 82 ?
102 = 100 and 62 + 82 = 36 + 64 = 100
Since 100 = 100, the triangle is a right
triangle.