Question

1. What is the length of segment DF?

2. In triangle A BC, angle A Is 35° and angle Bis 20°. Select all triangles which are
similar to triangle ABC.

Answer 1

hello

the answer to the question is:

• 1) if in triangle DEF, angle D = 68° and angle F = 44° then angle E = 180 - (68 + 44) = 68°

for the length of DF, divide the DEF triangle into two identical right angled triangles. hence;

Cos 68° = 9/DF ----> DF = EF = 24

• 2) if in triangle ABC, angle A = 35° and angle B = 20° then angle C = 180 - (35 + 20) = 125°

hence, you should look for all the triangles with these three angles (20°, 35° and 125°);

A) similar, B) different, C) similar, D) similar, E) different