The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments whose lengths are in the ratio of 1:4. The length of the altitude is 12. How long is the hypotenuse?

9514 1404 393

  30

Step-by-step explanation:

The altitude is the geometric mean of the two segments of the hypotenuse. For some scale factor x, the segments are 1x and 4x, and the altitude is ...

  12 = √((1x)(4x)) = 2x

  6 = x

So, the length of the hypotenuse is ...

  (1x) +(4x) = 5x = 5·6 = 30

The hypotenuse is 30 units long.

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation:

5/12, or 5: 12

step-by-step explanation: