Answer:
(
,
) = (30, 16)
Explanation:
First find the similarity
Since you know the legnth of the hypotenuse (the longest one) for both traingles, you can find the similarity by dividing the longer by the shorter:
50 ÷ 20 = 2.5
The similarity between the 2 triangles is 2.5.
Now find the length of
on the longer one, use the shorter one's length and the similarity:
12 × 2.5 = 30
So the length of
is equal to 30
Now lets find
, lets use the length of the larger triangle this time and divide the length of the longer leg (there are 2 legs in every triangle, if you don't know the hypotenus's length, use the pythagorean theorem) and divide it by the similarity:
40 ÷ 2.5 = 16
= 16
WooHoo! (
,
) = (30, 16)