What additional piece of information would you need to use the Side-Angle-Side Triangle Congruence Postulate to prove that △RQP ≅ △SQP?

Step-by-step explanation:

Given

△RQP ≅ △SQP

See attachment

Required

Additional information that shows that △RQP ≅ △SQP

△RQP and △SQP share a common side QP:

This implies that:

---- Side (S)

△RQP ≅ △SQP implies that:

---- Angle (A)

Lastly, we already established that △RQP and △SQP share a common side QP

Then remove point P, we have: RQ and SQ

This implies that:

--- Side (S)

Hence, the additional piece of information needed is:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.