Question

HELP ME PLEASE :(
In △JKL, KM is an altitude.
What is the length, in units, of JK?

Answer 1

JM/KM = KM/ML
Right?

Answer 2

I have no idea D:

Answer 3

Okay, there are similar triangles created any time you drop an altitude in a right triangle. So the three triangles are all proportionate to each other. I mean the ratios of their corresponding sides will equal.

Answer 4

So JM is a longer leg of the medium sized triangle and KM is the longer leg of the smallest triangle. Both of these lengths divided by the shortest side of the same triangle will be the same number. For the medium sized triangle, JKM, the shortest side is KM. For the smallest triangle, KML, it is ML. So

JM/KM = KM/ML

Answer 5

I know that there are 2 similar but I dont know how to get the sides length.
Here are my options:
7 radical 5

5 radical 7

12

7

Answer 6

I hate denominators, so I multiply both sides by the denominators to get:
JM*ML = KM^2

Answer 7

If jm=5 and jl is 35, is ml=30???

Answer 8

You sure one of the options isn't 5 radical 6?

Answer 9

positive

Answer 10

could the 35 actually be for ML?

Answer 11

Thats what I thought it was becauseX^2+= 150 and thats 5 radical 6.. And yeah. I posted a picture of the triangle..

Answer 12

Nevermind, I thought it was looking for KM. The answer is there, no worries.

Answer 13

But how would I solve it? Im confused. They didnt show how to solve this kind of problem

Answer 14

you now have 5 and 5 radical 6 for two legs of a right triangle. You know how to find the hypotenuse...

Answer 15

not a clue :(

Answer 16

a^2 + b^2 = c^2

Answer 17

oh. yeah. but how would I use that in this problem?

Answer 18

5^2 + (5√6)^2 = 175
then √175

Answer 19

so 5 squareroot 7?

Answer 20

yes

Answer 21

Yay! Can you check my other answers?

Answer 22

for a little while, but start a new thread, this one is pretty long.

Answer 23

okay.
In △PQR, QS is an altitude. Solve for x and y.

Answer 24

i said x=6 and y= 3 squareroot 13

Answer 25

Yes. I get the same

Answer 26

okay and one more then Im good :)
In △ABC, BD is an altitude. What is the length, in units, of BD?
I said 5 squareroot 6

Answer 27

yes

Answer 28

OKay Thank you so much for your time :)

Answer 29

Bye!