Question

similar triangles

Answer 1

@phi

Answer 2

what is at the shortest red side and the shortest blue side ? can you write the ratio (in the order red/blue ) ?

Answer 3

4/12

Answer 4

Similar triangles have the same angles which make the ratio of any two sides of the triangle the same as the two corresponding sides in the other similar triangle.

Answer 5

good,

next we see the t side in the red triangle is the longest side
what side is the longest side in the blue triangle ? what is the ratio red/blue ?

Answer 6

4.5/19.5

Answer 7

the "t" side matches with the 19.5 side

Answer 8

yes

Answer 9

so the proportion is
t/19.5 = 4/12

Answer 10

6.5

Answer 11

yes. do you see how we match up the "long red side" (t) with the "long blue side" to get
t/19.5
and we set that equal to "shortest red side" / "shortest blue side" (4/12 in this case)

\[ \frac{t}{19.5}= \frac{4}{12} \]

Answer 12

Yes

Answer 13

will you do two more with me?