Construction of Triangles: When 2 Sides and Included Angle Are Given
In XYZ , XY =...
Question
In △ XYZ , ¯¯¯¯¯¯¯¯¯XY =6.3 cm and ¯¯¯¯¯¯¯¯¯XZ = 7 cm. Which is the correct information needed to construct the triangle?
A
∠ X = 85°
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B
∠ Y = 50°
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C
∠ Z = 45°
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D
YZ > XZ
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Solution
The correct option is A∠ X = 85° The two sides ¯¯¯¯¯¯¯¯¯XY and ¯¯¯¯¯¯¯¯¯XZ are given. According to SAS criteria, if we get the value of the included angle ∠ X , then we can construct the △ XYZ