## anonymous 5 years ago Consider these triangles

1. amistre64

its a zen thing :)

2. anonymous

3. anonymous

what do you want to do which 2 this triangle

4. anonymous

Find side MF and RS?

5. anonymous

yea but the answer has ratio for both of them

6. anonymous

Ok, I find answer for you

7. anonymous

ratio = 5/15 = 1/3 MF = 13^2 -5^2= 12 RS = 39^2 - 15^2 = 36 check ratio = 12/36 = 1/3

8. anonymous

more detail; ratio = LM/HR = 5/15 = 1/3

9. anonymous

so the answer are 5/15 and 1/3 right?

10. anonymous

a.Find the ratio of the perimeter of triangle RSH to the perimeter of triangle MFL.

11. anonymous

b. Find the ratio of the area of RSH to the area of triangle MFL

$MF=\sqrt{13^{2}-5^{2}}=12$ correcting Nancy Lam just so you understand.

$\sqrt{169-25}=\sqrt{144}=12$

14. anonymous

ok then what next..

I was just showing how the 12 was obtained. What is the rest of the problem, do you have to find RS?

16. anonymous

yes

Since the ratio is 1 to 3, then MF being 12 means RS is 3 times 12 or 36.

1/3=12/x x=3*12=36

The ratio of the perimeters is also 1 to 3 The ratio of the areas is 1 to 9

A=1/2 b h A=1/2 12 5=30 for smaller triangle A=1/2 36 15= 270 for the larger their ratio 30/270

or reducing 1 to 9

22. anonymous

so what the answer of both a and b?

23. anonymous

I don't get it?