Answer:
BT = 18, DA = 6
Explanation:
- EBT and SDA are similar triangles
- EBT has a perimeter of 63
- SDA has a perimeter of 21
- BT = 6x
- DA = x+3
We know that EBT has side lengths that are three times bigger than the side lengths of SDA since 63 = 21 x 3.
so
6x is equal to 3(x+3).
6x = 3x + 9
3x = 9
x = 3
Now we know that:
BT = 18
and
DA = 6