What is Pythagorean Theorem?
a² + b² = c²
In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
abc
?Step-by-Step Calculation
Step 1: Substitute the known values into the formula.
Step 1: Substitute the known values into the formula.
3² + 4² = c²
Step 2: Calculate the square of each side.
Step 2: Calculate the square of each side.
9 + 16 = c²
Step 3: Add the values to find c².
Step 3: Add the values to find c².
25 = c²
Step 4: Take the square root to find the length of c.
Step 4: Take the square root to find the length of c.
c = √25 = 5
Frequently Asked Questions
Q1.Can the Pythagorean theorem be used for any triangle?
No, it specifically applies only to right-angled triangles (triangles that have one 90-degree angle). For non-right triangles, you would use the Law of Cosines.
Q2.What are 'Pythagorean Triples'?
Pythagorean triples are sets of three positive integers that perfectly fit the formula a² + b² = c². Famous examples include (3, 4, 5) and (5, 12, 13).
Q3.How is this theorem used in real life?
It is used widely in construction, architecture, and navigation to calculate the shortest distance between two points, as well as for determining screen sizes (diagonal length).
Related guides
Example: If a=3 and b=4, then c=5.
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