Construction of Triangles: When 2 Angles and Included Side Are Given
In DEF , ∠ D ...
Question
In △ DEF , ∠ D = 55° and ∠ E = 105°. Which is the correct information needed to construct the triangle?
A
∠ F = 20°
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B
¯¯¯¯¯¯¯¯¯DE =3.5 cm
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C
¯¯¯¯¯¯¯¯EF =6.5 cm
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D
¯¯¯¯¯¯¯¯¯DF =11 cm
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Solution
The correct option is B¯¯¯¯¯¯¯¯¯DE =3.5 cm Using ASA criteria, We can construct the △ DEF as the angles ∠ D = 55°, ∠ E = 105° and the included side ¯¯¯¯¯¯¯¯¯DE =3.5 cm are given.