The equation is shown in the picture that represents the relationship between the side lengths of each triangle.
What is the Pythagoras theorem?
The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have side lengths of a right-angle triangle shown in the picture.
We know the Pythagoras theorem:
hypotenuse² = perpendicular² + base²
For the first side lengths: 10, 6, 8
10² = 6² + 8²
For the second side lengths: √5, √3, √8
√8² = √5² + √3²
For the third side lengths: √30, √5, 5
√30² = √5² + 5²
For the fourth side lengths: 1, √37, 6
√37² = 6² + 1²
For the fifth side lengths: 3, √2, √7
3² = √7² + √2²
Thus, the equation is shown in the picture that represents the relationship between the side lengths of each triangle.
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