It is given that △FED ~ △STU . Is it true to say that DE/ST = EF/TU? Why
Solution:
Given, the triangles FED and STU are similar.
We have to determine if DE/ST = EF/TU is true.
By the property of similarity,
F ↔ S
E ↔ T
D ↔ U
So, the corresponding sides will be
EF/ST = DE/TU = FD/SU
Therefore, the relation DE/ST = EF/TU is not true.
✦ Try This: It is given that △FED ~ △ABC . Is it true to say that FE/AB = ED/BC? Why?
Given, the triangle sFED and ABC are similar.
We have to check if FE/AB = ED/BC is true.
By the property of similarity,
F ↔ A
E ↔ B
D ↔ C
So, the corresponding sides will be
FE/AB = ED/BC = FD/AC
Therefore, the relation FE/AB = ED/BC is true as it satisfies the property of similarity
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 6
NCERT Exemplar Class 10 Maths Exercise 6.2 Sample Problem 3
It is given that △FED ~ △STU . Is it true to say that DE/ST = EF/TU? Why
Summary:
It is given that △FED ~ △STU, DE/ST = EF/TU is not true as it fails to satisfy the property of similarity.
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