Question
Download Solution PDFIf \(\Delta ABC \cong \Delta PQR\), BC = 6cm, and \(\angle A = {75^o}\), then which one of the following is true?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\Delta ABC \cong \Delta PQR\)
BC = 6cm
\(\angle A = {75^o}\)
Concept Used:
Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
Calculation:
If triangles ABC and PQR are congruent, then:
∠A = ∠P and ∠B = ∠Q
QR side of Δ PQR should be equal to side BC of Δ ABC so that the two triangles are congruent.
\(QR = 6cm,\angle P = {75^o}\)
Hence the correct option is Option(3).
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