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Construction of Triangles: When 2 Sides and Included Angle Are Given

In X YZ , ∠ X...

Question

In $△$ XYZ , $∠$ X = 50° and $¯ ¯¯¯¯¯¯¯ ¯ X Y$ = 9.5 cm. Which is the correct information needed to construct the triangle?

¯ ¯¯¯¯¯¯ ¯ Y Z

= 4.5 cm

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∠

Z = 100°

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¯ ¯¯¯¯¯¯¯ ¯ X Z

= 4 cm

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None of the above

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Solution

The correct option is C $¯ ¯¯¯¯¯¯¯ ¯ X Z$ = 4 cm
Using SAS criteria , we can construct $△$ XYZ as two sides $¯ ¯¯¯¯¯¯¯ ¯ X Y$ , $¯ ¯¯¯¯¯¯¯ ¯ X Z$ and included angle $∠$ X are given.

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Similar questions

△

¯ ¯¯¯¯¯¯¯ ¯ X Y

¯ ¯¯¯¯¯¯¯ ¯ X Z

X Y Z

X Y = 7.8 cm, Y Z = 4.5 cm

X Z = 9.5 cm

∠ X = 30 °

∠ Y = 100 °

△

∠

¯ ¯¯¯¯¯¯ ¯ A C

△

¯ ¯¯¯¯¯¯¯ ¯ X Y

¯ ¯¯¯¯¯¯¯ ¯ X Z

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