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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.

(1 point)
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User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To find the ratio between ΔDEF and ΔABC, we can use the corresponding side lengths of the triangles.

In ΔABC, AC measures 16 and AB measures 22.
In ΔDEF, FD measures 8 and DE measures 11.

Since the triangles are similar, we can set up the following proportion:

AC/FD = AB/DE

Plugging in the values, we get:

16/8 = 22/11

Simplifying the left side, we get:

2 = 22/11

Multiplying both sides by 11, we get:

22 = 22

Therefore, the ratio between ΔDEF and ΔABC is 1:1, or 1/1 as a fraction in simplest form.

User Icon for whomp whomp whomp whomp answered
11 months ago

1. 0.1

2. 1.8
3.4
4.6
5.1/2
100% correct!!!