Question

@Directrix

Answer 1

find the value of the variables

Answer 2

Please post the remainder of the given information. Do you have right angles that should be on the diagram?

Answer 3

Let's find y.

This is the theorem that must be applied:

Theorem: If the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the lengths of the segments of the hypotenuse.

Answer 4

Geometric means! Haha, just learned it today

Answer 5

@shoortaayy

9 is to y as y is to 16

9/y = y/16

y^2 = 9*16

Solve for y.

Answer 6

Take square roots of both sides of the above equation.

Answer 7

y=12 ?

Answer 8

x=15 and z=20?

Answer 9

y = 12, yes. I have to crank out the others.

Answer 10

For x and z, this theorem is applied:

Theorem: If an altitude is drawn to the hypotenuse of a right triangle, either leg of the triangle is the geometric mean between the length of the hypotenuse and the segment of the hypotenuse adjacent to that leg.

Answer 11

let me know if im right

Answer 12

9/x = x/ 25

Solve for x.

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16/z = z/25

Solve for z.

Answer 13

yeah it's right.

Answer 14

>>>x=15 and z=20?

Yes, these are correct.

Answer 15

explain why the triangles are similar. then find the value x

Answer 16

help? @Directrix

Answer 17

Are you given that there are any parallel lines?

Answer 18

thoe are the paralled lines

Answer 19

When you post a diagram, mark it up with all the given information. That helps to know how to go about solving the problem.

Answer 20

Are you familiar with the AA Similarity Postulate?