Pythagorean Theorem in Grade VII

In Euclidean Geometry, Pythagorean theorem is given for three sides of right triangle. Right triangle is described as a triangle whose one angle is a right angle i.e. 90'. Pythagorean theorem states that square of the side opposite to the right angle known as hypotenuse is equal to the sum of the square of other two sides of the right triangle. We can define it by an equation known as the Pythagorean Theorem Worksheet as:
If a right triangle have three sides a , b and c then according to the Pythagorean theorem of maths the relation between the sides is A² + B² = C² where C is a hypotenuse of right triangle and A and B are two other sides of right triangle .
If the two sides of the right triangle are given then we can calculate other third side by using the Pythagorean theorem.  (To get help on cbse syllabus click here)
Let us assume that A side has the length of 3 centimeters and side B has the length of 4 centimeters then the length of the hypontenuse is A² + B² = C²

So according to the Pythagorean theorem, length of c is 3² + 4² = c² . By solving this equation we get the value of C is 5 as C = ( 3² + 4² )^½
= ( 9 + 16 )^1/2 = ( 25 )^1/2
= 5 centimeters.
Example: If we have the length of hypotenuse as 13 centimeter and one of its side is 5 centimeter then calculate the length of other remaining side.
Solution: We are given that A=5, C=13. We have to find B.
5² + B² = 13² then value of B as B² = 13² – 5² then
B² = 169 – 25
B = ( 144 )^1/2
B = 12 centimeters
So In the next topic we are going to discuss Congruence and In the next session we will discuss about Congruence in Grade VII.