How do I solve the Pythagorean theorem problems step by step?

Start from the definition: the Pythagorean theorem refers to the rule that in a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides. Then identify the right angle, label the hypotenuse, then apply a² + b² = c² and solve for the unknown side. Follow that same order every time and most questions on this topic become mechanical rather than intimidating.

How to approach it step by step

Most learners lose marks on the Pythagorean theorem not because the concept is hard, but because the steps get done out of order. This is exactly where a live 1:1 session helps: LetMeTeach solves one problem visually with you, then hands you a similar one and checks each step as you work, adapting the difficulty to how you answer.

Worked example

With legs 3 and 4, the hypotenuse is √(9 + 16) = √25 = 5.

The mistake most learners make

Treating any long side as the hypotenuse instead of the side opposite the right angle.

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