Need Pythagoras theorem notes
Mathematics
ScanSolve AI Answer
Step-by-step solution
5 stepsThe Pythagorean theorem is a fundamental relationship in Euclidean geometry among the three sides of a right-angled triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
The formula is:
a² + b² = c²
Where:
- a and b are the lengths of the two shorter sides (legs) of the right-angled triangle.
- c is the length of the hypotenuse (the longest side, opposite the 90-degree angle).
Example:
If a right-angled triangle has sides a = 3 units and b = 4 units, let's find the hypotenuse c.
Write the formula.
a² + b² = c²
Substitute the given values.
3² + 4² = c²
Calculate the squares.
9 + 16 = c²
Add the values.
25 = c²
Take the square root of both sides to find c.
c = √25
c = 5 units
Was this helpful?
Still stuck on this one?
Ask a follow-up, and the answer starts from this question.
Got a different question?Ask your own question