The formula for finding the hypotenuse of a right triangle is a^2 + b^2 = c^2. A and B stand for the legs of the triangle while C is the hypotenuse of a right triangle. With this information, you can plug in the numbers into the formula to discover the length of C. You can plug in 48 for either A or B since it is the only leg you know the value of, and then you plug in 50 for C since you know it is the hypotenuse. So, you get 48^2 + b^2 = 50^2. Now to find the value of the unknown leg, b, you just simplify the equation. 48^2= 2304 and 50^2= 2500. So you get 2304 + b^2 = 2500. Then, to isolate b^2 you subtract 2304 from both sides of the equation. 2500-2304 equals 196, so you get b^2 = 196. Lastly, you square root both sides of this equation to get b = 14.
We have been given that the scale on a trail map is 0.5 cm : 1 km. The straight distance between 2 huts on the trail is 16.9 cm. We are asked to find the actual distance between 2 huts.
We will use proportions to solve our given problem.
Therefore, the actual distance between both huts is 33.8 km.
