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.)

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.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.