Question

Triangle ABC is similar to Triangle
DEF, with point A corresponding
to D, point B corresponding to E
and point C corresponding to F,
Angle A = 90°, cos F = 0.81. Find
sin B.

Answer 1

Step-by-step explanation:

We know that the ratio of areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides.

∴

Area(△DEF)

Area(△ABC)

=

DE

2

AB

2

⇒

Area(△DEF)

Area(△ABC)

⇒

(1.2)

2

(1.2)

2

=(

14

12

)

2

⇒

49

36