Consider these triangles
its a zen thing :)
what do you want to do which 2 this triangle
Find side MF and RS?
yea but the answer has ratio for both of them
Ok, I find answer for you
ratio = 5/15 = 1/3 MF = 13^2 -5^2= 12 RS = 39^2 - 15^2 = 36 check ratio = 12/36 = 1/3
more detail; ratio = LM/HR = 5/15 = 1/3
so the answer are 5/15 and 1/3 right?
a.Find the ratio of the perimeter of triangle RSH to the perimeter of triangle MFL.
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.
\[\sqrt{169-25}=\sqrt{144}=12\]
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?
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
so what the answer of both a and b?
I don't get it?
Review the above. Review the meaning of "ratio" and proportion. The method of solution have been presented to you, yet you do not understand or "don't get it" Review the triangle geometry. Good luck, and study and practice.
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