Lengths of a right triangle are 12 yd; 15 yd; ? Determine the unknown length.
The unknown length can be found using the Pythagorean theorem:
a² + b² = c²
where a and b are the two legs of the right triangle and c is the hypotenuse.
Substituting in the given values:
12² + 15² = c²
144 + 225 = c²
369 = c²
Taking the square root of both sides:
c ≈ 19.21
Therefore, the unknown length is approximately 19.21 yards.