Math, asked by guptajyoti1122, 9 months ago

in triangle PQR, and triangle PQR , AB=PQ and Angle B = angle Q . the two triangles will be congruent by SAS axiom if

Answers

Answered by RvChaudharY50

Given :- in triangle PQR, and triangle ABC, AB = PQ and Angle B = angle Q . the two triangles will be congruent by SAS if ?

Solution :-

from image we have :-

Two ∆'s = ∆PQR and ∆ABC .
PQ = AB.
∠PQR = ∠ABC.

we need to tell which two sides are also equal , so that both given triangles are congruent by SAS .

we know that,

If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

Therefore, we can conclude that, for SAS rule to be true given two equal angles must be between two equal sides.

Hence,

→ PQ = AB. (given)

→ ∠PQR = ∠ABC. (given)

→ QR = BC .

→ ∆PQR ~ ∆ABC (By SAS congruence.)

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Answered by prabhas24480

Given :- in triangle PQR, and triangle ABC, AB = PQ and Angle B = angle Q . the two triangles will be congruent by SAS if ?

Solution :-

from image we have :-

Two ∆'s = ∆PQR and ∆ABC .

PQ = AB.

∠PQR = ∠ABC.