SOLUTION: construct a square equal to the sum of the two given squares

Algebra.Com
Question 291331: construct a square equal to the sum of the two given squares
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!


            a² + b² = c²

Construct a right triangle whose legs are 
equal in length to the sides of the two given 
squares, a and b.  Then by the Pythagorean 
theorem its hypotenuse c will be the length 
of the side of a square equal in area to the 
sum of the areas of the two given squares.

Edwin
RELATED QUESTIONS

The perimeter of two squares are 748 m and 335 m respectively. Find the perimeter of the... (answered by macston)
the sides of two squares are 2.4 m and 1.8 m long .Find the side of a new square equal to (answered by Fombitz)
The sides of two squares are 2.4 and 1.8 meters long respectively. Find the side of a new (answered by ikleyn)
If the sum of the squares of two numbers is equal to the square of their sum, then what... (answered by macston)
show the conjecture is false by finding a counterexample. the square of the sum of two (answered by bucky,richard1234)
The square of the largest of three consecutive integers is equal to the sum of the... (answered by khwang)
The area of the square on the hypotenuse of right angled triangle is equal to the sum of... (answered by Fombitz)
find three consecutive integers such that the sum of the squares of the smaller two is... (answered by xcentaur)
whats 3 consecutive integers such that the sum of the squares of the smaller two is equal (answered by jim_thompson5910)