Question

1.Calculate NL.
2.Calculate KN.
3.Calculate MN.

Answer 1

sorry i misread the graph.

Answer 2

Not quite. 26 goes to KM and not KN, so you can't use Pythagorean THeorem...yet..
To solve for NL, plug in these values and solve the proportion.
\[\frac{KN}{NL} = \frac{NL}{NM}\]

Answer 3

how about the other ones

Answer 4

\[\frac{KN}{KL} = \frac{KL}{KM}\]\[\frac{MN}{ML} = \frac{ML}{KM}\]

Answer 5

Hi kathy14 :)

How are you?

Answer 6

By the way Calcmathlete seems right. Why don't you follow him?

Answer 7

But there is another way to solve this

Answer 8

im good and you? do u know how?

Answer 9

Yes me also well. Yes I know. But I want that Calcmathlete see my solution and tell me where I go wrong. So should I start?

Answer 10

First we have to calculate \(\angle K\)
Use cosine ratio,

Cos\(\theta\)=\(\Large\frac{24}{26}\)
\(\theta\)=\(\large \text{cos}^{-1}(0.923)\)
\(\theta\)=22.62

Answer 11

Now we know the sum of the all angles in a triangle is 180.

So
22.62+90+M=180
M=67.38

Answer 12

Now we have \(\angle\)M

So we can find NL

Answer 13

Use sine ratio now,

sin(67.38)=\(\Large\frac{NL}{10}\)
NL=10*(0.923)
NL=9.23

Answer 14

Now use Pythagorean theorem here,

MN=\(\sqrt{ML^2+NL^2}\)
MN=\(\sqrt{(10)^2-(9.23)^2}\)
MN=3.848

Answer 15

Now,
KM=KN+MN
KN=KM-MN
KN=26-3.848
KN=22.152

Answer 16

Now you have all your required sides dear.

Answer 17

May be I have some mistake in calculation because all these calculations are verbally so please check by your own self too. But the procedure will remain same.

Answer 18

sorry its late. but thank you shayaan_mustafa

Answer 19

you are welcome kathy14 :)