Pythagoras is when you have a triangle and you know what the length of 2 of the sides. You then need to find out what the other side is. The triangle is ALWAYS a right angle triangle and the side opposite the right angle is called the Hypotenuse.
When working out the other side you normaly split the triangle into sections like above.
This is how you work out Pythagoras:
Side A = 28cm
Side B = 21 cm
Side C = x (you work it out)
A + B = C
A squared + B squared = C squared
A = a squared = 28 squared = 784
B = b squared = 21 squared = 441
C = 784 + 441 = 1225
x = 1225 square root
x = 35cm
EG1)
Side A = 6cm
Side B = 10cm
Side C = x (find out the length of the Hypotenuse)
A + B = C
A squared + B squared = C squared
A = A squared = 6 squared = 36
B = B squared = 10 squared = 100
C = 36 + 100 = 136
x = 136 square root
x = 11.66190379......
x = 11.7cm to 1 dp
Question
1. A = 4cm
B = 7.5cm
What is x ?
This is how you work out Pythagoras:
Side A = 28cm
Side B = 21 cm
Side C = x (you work it out)
A + B = C
A squared + B squared = C squared
A = a squared = 28 squared = 784
B = b squared = 21 squared = 441
C = 784 + 441 = 1225
x = 1225 square root
x = 35cm
EG1)
Side A = 6cm
Side B = 10cm
Side C = x (find out the length of the Hypotenuse)
A + B = C
A squared + B squared = C squared
A = A squared = 6 squared = 36
B = B squared = 10 squared = 100
C = 36 + 100 = 136
x = 136 square root
x = 11.66190379......
x = 11.7cm to 1 dp
Question
1. A = 4cm
B = 7.5cm
What is x ?