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  • It is to be established by RHS congruence rule that bigtriangleup ABC cong bigtriangleup RPQ What additional information is needed if it is given that angle B is equal to angle P is equal to 90 degree underline 0 and AB is equal to RP

2. It is to be established by the RHS congruence rule that  \bigtriangleup ABC\cong \bigtriangleup RPQ. What additional information is needed, if it is given that

          \angle B= \angle P= 90^{\underline{0}}  and AB= RP?

Answers (1)

best_answer

To prove congruency by the RHS (right angle, hypotenuse, side) rule, we need the hypotenuse and side equal to the corresponding hypotenuse and side of a different angle.

So Given

\angle B= \angle P= 90^0  ( Right angle )

 AB= RP.  ( Side )

So the third piece of information we need is the equality of  the hypotenuses of both triangles. i.e.

AC= RQ

Hence, if this information is given, then we can say,

\bigtriangleup ABC\cong \bigtriangleup RPQ.

 

Posted by

Pankaj Sanodiya

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