In the following figure, triangle ABC and triangle DEF are similar. What is the value of x ? Triangle ABC and triangle DEF are s

Question

3 years ago

15

In the following figure, triangle ABC and triangle DEF are similar. What is the value of x ? Triangle ABC and triangle DEF are s

hown. Side AB measures 10 millimeters. Side BC measures 4 millimeters. Side CA measures 8.5 millimeters. Side DE is not labeled. Side EF measures 12 millimeters. Side FD measures x. (1 point) x = 16.5 mm x = 24 mm x = 25.5 mm x = 30 mm

Mathematics

1 answer:

Shtirlitz [24] · Answer 1 · 2022-08-18T14:58:31+03:00

Shtirlitz [24]3 years ago

7 0

X = 25.5 mm.

Using the similarity statement given, that ΔABC ~ ΔDEF, we set up a proportion:

8.5/x = 4/12

Cross multiply:
4*x = 8.5*12
4x = 102

Divide both sides by 4:
4x/4 = 102/4
x = 25.5