Question
A Pythagorean triple is a set of three positive integers a, b and c that satisfy 
.The Identity 
can be used to generate Pythagorean triples. Use the identity to generate a Pythagorean triple when x=5 and y= 4
Hint:
Pythagorean Theorem is a theorem in geometry where the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides. We are asked to use the identity to find a Pythagorean triplet when x=5 and y=4.
The correct answer is: Thus, the triplet are 3,4,& 5
Step 1 of 3:
The given values are: 
.
The identity is:
Step 2 of 3:
Substitute the values in the identity;
Step 3 of 3:
To get the Pythagorean triplet, we have:
So,
Thus, the triplet are 3,4&5.
Step 3 of 3:
To get the Pythagorean triplet, we have:
So,
Thus, the triplet are 3,4&5.
Pythagorean property is an important property in right angled triangles. It helps you to find the measurements of the corresponding triangle.
Related Questions to study
The dimensions of a rectangle are shown. Write the area of the rectangle as a sum of cubes .
The area of a rectangle with length l and width w is A = lw
The dimensions of a rectangle are shown. Write the area of the rectangle as a sum of cubes .
The area of a rectangle with length l and width w is A = lw
A Medium sized Shipping box with side length s units has a volume of S3 cubic units.
a. A Large shipping box has side lengths that are 3 units longer than the medium shipping box. Write a binomial expression for the volume of the large shipping box .
b. Expand the polynomial in part A to simplify the volume of the large shipping box ?
The volume of a cuboid with side length a is, V = a3.
A Medium sized Shipping box with side length s units has a volume of S3 cubic units.
a. A Large shipping box has side lengths that are 3 units longer than the medium shipping box. Write a binomial expression for the volume of the large shipping box .
b. Expand the polynomial in part A to simplify the volume of the large shipping box ?
The volume of a cuboid with side length a is, V = a3.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n, we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n, we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions: 
The expansion of (x + y)n can be also found using the Pascal’s triangle using the (n+1)th row of the triangle.
Use the binomial theorem to expand the expressions:
The expansion of (x + y)n can be also found using the Pascal’s triangle using the (n+1)th row of the triangle.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle (using the fourth row).
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle (using the fourth row).
Use polynomial identities to factor the polynomials or simplify the expressions : 
Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.
Use polynomial identities to factor the polynomials or simplify the expressions :
Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.
