MEDAL to the one who helps the most

Question

thecuteone25 · Answer

attachment

thecuteone25 · Answer

A.
5
 
 B.
17
 
 C.
10
 
 D.
20

abdullahm · Answer

Do you know how to make a proportion and solve it?

thecuteone25 · Answer

yes but not with this one because it has 3 numbers not 2

anonymous · Answer

This relationship is represented by the formula: a^2 + b^2 = c^2. You have a and b. Follow the equation 16^2 +12^2 = c^2

thecuteone25 · Answer

thank you

anonymous · Answer

D. by inspection.
Each side length of the large triangle is 4 times that of the smaller triangle's 
cooresponding side.

study312 · Answer

the big one is 16 x 12 = 192, because it is a triangle you have to divide by 2. 192 ÷ 2  = 96

abdullahm · Answer

$\sf\Large \frac{4}{16} = \frac{5}{x} = \frac{3}{12}$

We need to solve for 'x'

anonymous · Answer

thecuteone25 · Answer

we have to cross multiply

abdullahm · Answer

exactly!

thecuteone25 · Answer

16^5=80

thecuteone25 · Answer

then don't we change it to an equation

abdullahm · Answer

$\Large \sf \frac{a}{b} = \frac{c}{d} \rightarrow  ad =bc$

abdullahm · Answer

So $\Large \sf \frac{4}{16} = \frac{5}{x}$

can be re-written as 4x = 80

solve for x :)

thecuteone25 · Answer

so X=20

thecuteone25 · Answer

thank you so much

abdullahm · Answer

No problem! :)