In Euclidean geometry Pythagorean Theorem is defined for a Right angled triangle. The sum of the squares of the legs or sides is equal to the square of the largest side (Hypotenuse).
In the above triangle there is a right angle at base. Hence the triangle is called as Right angled triangle.
In a right angled triangle if the two sides have a measure of 9cm and 12cm. Find the length of the largest side.
The sides of a right angled triangle a = 9cm and b = 12cm.
Always in a right angled triangle the largest side is the hypotenuse.
So we need to find the length of hypotenuse = c = ?
c = 15
Hence the length of the largest side = 15 cm
A square has an area of 25 sq. feet. Find the length of the diagonal of a square.
Area of a square = 25 sq. feet
The formula for area of a square is side x side = s x s = s²
s² = 25
s = 5
So, the side of a square is 5 feet.
In a square each angle is a right angle (90º). Hence the diagonal is nothing but a hypotenuse with two sides