Triangle UVWis a right triangle. If UV=51 centimetersand VW=140 centimeters. find UW.
I subtracted 51 from 140 and got an answer of 191. then i subtracted 191 from 360 to get an answer of 179. is this right?
To find the length of side UW in a right triangle, you can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, UV and VW are the two sides, and UW is the hypotenuse. So, using the Pythagorean theorem, we have:
UW^2 = UV^2 + VW^2
Substituting the given lengths:
UW^2 = 51^2 + 140^2
Calculating:
UW^2 = 2601 + 19600
UW^2 = 22201
To find UW, you need to take the square root of 22201:
UW = √22201
Now, let's calculate the answer.
Taking the square root of 22201, UW is approximately 149.12 centimeters. Therefore, the length of side UW is approximately 149.12 centimeters.
Your approach of subtracting 51 from 140 and then subtracting the result from 360 is not correct. The Pythagorean theorem should be used to find the length of the side of a right triangle.