In $△$ PQR , $∠$ P = 75° and $¯ ¯¯¯¯¯¯ ¯ P Q$ =8 cm. Select the correct information needed to construct the triangle?

∠

Q = 75°

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∠

R = 30°

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¯ ¯¯¯¯¯¯¯ ¯ Q R

= 12 cm

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¯ ¯¯¯¯¯¯ ¯ P R

= 12 cm

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Solution

The correct options are
A $∠$ Q = 75°
D $¯ ¯¯¯¯¯¯ ¯ P R$ = 12 cm
We can construct $△$ PQR ,
1) Using ASA criteria ,since the angles $∠$ P , $∠$ Q and the included side $¯ ¯¯¯¯¯¯ ¯ P Q$ are given.
2) Using SAS criteria, since the sides $¯ ¯¯¯¯¯¯ ¯ P Q$ , $¯ ¯¯¯¯¯¯ ¯ P R$ and the included angle $∠$ P are given.

Suggest Corrections

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In PQR, PQ = PR and R = 65°, then P =?

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