Question

Find the length of the unknown side of the triangle.

(A right triangle has a leg of length 5 feet and a second leg of length 15 feet. The length of the hypotenuse is unknown.)

The length of the unknown side of the triangle is _ ft.
​(Simplify your answer. Type an exact​ answer, using radicals as​ needed.)

Answer 1

We can use the Pythagorean formula to find the hypotenuse of the right triangle.

a²+b²=c²

Where a and b are the legs of the triangle and c is the hypotenuse.

According to the given problem,

one leg: a= 5 feet and second leg : b = 15 feet.

So, we can plug in these values in the above equation to get the length of unknown side. Hence,

5²+15²=c²

25 + 225 = c²

250 = c²

c =√ 250

c = √(25*10)

c = √25*√10

c = 5√10

Hence, the exact length of the hypotenuse is 5√10 feet.