Question

Find the value of y please ASAP

Answer 1

Right Triangle Altitude Theorem

Draw the altitude of a right triangle from the vertex of the right angle to the hypotenuse, then:

Part a: the measure of the altitude is the geometric mean between the measures of the two segments of the hypotenuse.

Part b: each leg of the right triangle is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg.

Using Part b,

`(12)/(y) = (y)/(9)`

`y^2 = 12 * 9`

`y = √(9 * 4 * 3)`

`y = 3 * 2 * √(3)`

`y = 6√(3)`

Answer:
`~~~6√(3)`

Answer 2

x/3 = 12/x

x^2 = 36

x = 6

9/y = y /x

9/y = y / 12

y^2 = 9 * 12

y = 9 * 4 * 3

y = 6√3

Answer

y = 6√3