Use the image to answer the question.
An illustration shows two similar triangles.
On triangle A B C, side A C measures 16, side A B measures 22, and side B C measures 24. Angle A measures 77 degrees, angle B measures 40 degrees, and angle C measures 63 degrees. On triangle D E F, side F D measures 8, side D E measures 11, and side E F measures 12. Angle D measures 77 degrees, angle E measures 40 degrees, and angle F measures 63 degrees.
ΔABC is similar to ΔDEF . Find the ratio between ΔDEF and ΔABC . Express the answer as a fraction in simplest form.
To find the ratio between two similar triangles, we can compare the lengths of the corresponding sides.
The corresponding sides of triangle ΔABC and ΔDEF are:
Side AC and side FD
Side AB and side DE
Side BC and side EF
We can compare these sides to find the ratio.
The ratio between side AC and side FD is 16/8, which simplifies to 2/1.
The ratio between side AB and side DE is 22/11, which simplifies to 2/1.
The ratio between side BC and side EF is 24/12, which simplifies to 2/1.
Therefore, the ratio between ΔDEF and ΔABC is 2/1.