SOLUTION: Help with Trigonometric ratios A square has a side length of 20 cm. If a diagonal is drawn, what is the length of the diagonal? Give the exact value, not an approximation.

Algebra ->  Rational-functions -> SOLUTION: Help with Trigonometric ratios A square has a side length of 20 cm. If a diagonal is drawn, what is the length of the diagonal? Give the exact value, not an approximation.      Log On


   



Question 1139854: Help with Trigonometric ratios
A square has a side length of 20 cm. If a diagonal is drawn, what is the length of the diagonal? Give the exact value, not an approximation.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A square has a side length of a=20cm.
If a diagonal is drawn, a square is divided in two right triangles where a diagonal is hypotenuse and sides of the square are legs
use Pythagorean theorem to find the length of the diagonal d
d%5E2=a%5E2%2Ba%5E2
d%5E2=2a%5E2
d%5E2=2%2820cm%29%5E2
d=sqrt%282%2820cm%29%5E2%29
d=20sqrt%282%29cm->the exact value