ABC~DEF
AB = 36, BC = 24, DE = 48
m<B = 110', m<E = 110'
EF = ?
I think it's 68. Yes? Or is something else?
EF = 32
Corresponding sides of similar triangles are proportional. Draw a picture.
Make a proportion:
36/24 = 48/EF
Thank you so much. Saved me from a big mistake :)
You'll get there!
To find the length of EF in triangle ABC~DEF, we can use the concept of similarity. In similar triangles, corresponding sides are proportional.
Given that AB = 36, BC = 24, and DE = 48, and the triangles are similar, we can set up a proportion using the corresponding lengths:
AB / DE = BC / EF
Plugging in the given values:
36 / 48 = 24 / EF
To solve for EF, we can cross multiply:
36 * EF = 48 * 24
Now, let's calculate it:
36 * EF = 1152
Dividing both sides of the equation by 36, we get:
EF = 1152 / 36
EF = 32
Therefore, the length of EF is 32, not 68 as you mentioned.