Problem One This is a right angle triangle. If it is not, then there is no way to do the problem. the right angle is across from the 19.
Formula a^2 + b^2 = c^2
Givens a = 17 c = 19
Sub and solve 17^2 + b^2 = 19^2 289 + b^2 = 361 Subtract 289 from both sides. b^2 = 361 - 289 b^2 = 72 Take the square root of both sides. b = sqrt(72) Factor 72 b = sqrt(6 * 6 * 2) Take 6 outside the root sign. b = 6*sqrt(2)
This is one possible answer b = 6*sqrt(2) The other is a decimal b = 6 * 1.414 = 8.485
Problem 2 Remark If you are just counting units then the answer is 11 (miles). If you want an answer that goes the way a bird would fly directly to it then the problem will look like this.
