Question

Please Help on Finding Lengths of Triangle
*Will Fan and Medal* Only 1 Question

Answer 1

What is that symbol between K and M? It's hard to read.

Answer 2

I think its an e.. Its just another variable so it doesnt really matter.

Answer 3

the length (the longer side of the triangle attached to the right angle) would be 12.

Answer 4

okay well then just a couple of equations
\[\large\rm c^2+d^2=30^2 \]\[\large\rm 6^2+e^2=d^2 \]\[\large\rm 24^2+e^2=c^2 \]

Answer 5

substitue third equation in the first equation and then solve it and the second one simultaneously

Answer 6

I get what your saying but I'm not sure what to do next. @FaiqRaees

Answer 7

Variable c,e,or d would be 12? @DevilChild345

Answer 8

variable c would be 12

Answer 9

How do you know?

Answer 10

wait are you trying to find the length of side KL or side KM

Answer 11

\[\large\rm 24^2+e^2+d^2=30^2 \]\[\large\rm 6^2+e^2=d^2 \]
solve them simultaneously.

Answer 12

where are you getting 30^2

Answer 13

from the first equation

Answer 14

i see that but there is no 30 on the triangle

Answer 15

yeah but there lies a 24 and 6 on a hypotnuse

Answer 16

I don't know how to solve it with such little information. Its just confusing me.

Answer 17

I get how your getting all the equations but idk how to "solve them simultaneously"

Answer 18

\[\large\rm 24^2+e^2+e^2+6^2=30^2 \]
now okay?

Answer 19

why are there 2 e's?

Answer 20

i substitued third equation into it

Answer 21

I'm just really lost right now. I don't get how you could find the lengths with only one number.

Answer 22

which part do you found confusing the last one?

Answer 23

its not the equations its me not knowing how to solve them. Can you walk through solving it?

Answer 24

@FaiqRaees

Answer 25

well then I assume you know how I formulated the equations and substituted one into another to get a resultant equation?

Answer 26

yes

Answer 27

\[\large\rm 24^2+e^2+e^2+6^2=30^2\] So you dont know how to calculate the value of e in this equation?

Answer 28

No, thats what confuses me. I understand the equation and how it got there.

Answer 29

@FaiqRaees

Answer 30

\[\large\rm 24^2+e^2+e^2+6^2=30^2\]\[\large\rm 24^2+2e^2+6^2=30^2\]
Agree?

Answer 31

yes

Answer 32

\[\large\rm 2e^2=30^2-24^2-6^2\]
Agree

Answer 33

yes

Answer 34

@FaiqRaees

Answer 35

\[\large\rm 2e^2= 900-576-36\]\[\large\rm 2e^2= 288\]\[\large\rm e^2= 144\]\[\large\rm e= 12\]\[\large\rm 6^2+e^2= d^2 \]\[\large\rm 6^2+12^2= d^2 \]\[\large\rm 180= d^2 \]\[\large\rm \sqrt 180= d \]
Now try to work out the value of C