The perimeter of a square is 20 cm. How do you find the length of a diagonal? Algebra Radicals and Geometry Connections Pythagorean Theorem and its Converse 1 Answer Konstantinos Michailidis Oct 15, 2015 Let #a# be the side of the square .Its perimeter equals with #4a# hence #4a=20=>a=5cm# .Now the diagonal #d# is the hypotenese of the right triangle with sides those of the square so #d^2=a^2+a^2=>d=sqrt2*a=>d=5*sqrt2# Answer link Related questions How do you use the pythagorean theorem? How is the pythagorean theorem related to the distance formula? How do you apply the pythagorean theorem in word problems? What is the converse of the Pythagorean theorem? What are some real life examples of the pythagorean theorem? How do you determine whether or not a triangle with sides of lengths 5, 6 and 8 forms a right triangle? How do you solve for the missing side, c, of a right triangle if #a=12# and #b=16#? Does it matter which sides you choose for a, b, c in a right triangle, when applying the... How do you find the lengths of the three legs of the triangle if one leg of a right triangle is... How do you find the length of the diagonal of the cookie sheet if Maria has a rectangular cookie... See all questions in Pythagorean Theorem and its Converse Impact of this question 17638 views around the world You can reuse this answer Creative Commons License