If ∆PQR and ∆SQR are both isosceles triangle on a common base QR such that P and S lie on the same side of QR. Are triangles PSQ and PSR congruent? Which condition do you use?
Given: ∆PQR and ∆SQR are both isosceles triangle on a common
base QR
Formula Used/Theory:-
→ 2 sides of triangle are equal gives a isosceles triangle
→ If all sides of triangle are equal to all other sides of triangle
Then both triangle are congruent by SSS criterion
As ∆PQR and ∆SQR are both isosceles triangle on a common base QR
Then;
PQ = PR and SQ = SR
In Δ PSQ and Δ PSR
SQ = SR (stated above)
PQ = PR (stated above)
PS = PS (common)
∴ Δ PSQ ≅ Δ PSR
Hence; both triangles PSQ and PSR are congruent by SSS criterion
Couldn't generate an explanation.
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