in triangle abc and pqr ab is equal to AC angle C is equal to angle R and angle b is equal to angle Q that two Triangles are
Answers
The triangles are supposed to be congruent if you mean that AB = PQ.
The two triangles are isosceles and congruent.
Explanation:
Given data:
In ΔABC and ΔPQR,
AB = AC, ∠C = ∠P and ∠B = ∠Q.
In triangle ABC,
AB = AC
If any two sides of a triangle are equal, then it is called isosceles triangle.
So, triangle ABC is an isosceles triangle.
The angles opposite to equal sides of an isosceles triangle are equal.
⇒ ∠B = ∠C – – – (1)
It is given that
∠C = ∠P and ∠B = ∠Q
If we substitute this in (1), we get
⇒ ∠Q = ∠P
So, PR = QR in triangle PQR.
So, triangle PQR is an isosceles triangle.
The angles and sides of two triangles are congruent.
Hence the two triangles are isosceles and congruent.
To learn more...
1. n triangle ABC and PQR angle A is equals to angle p , angle b is equal to angle q and AB =QR . WILL THE TWO TRIANGLES BE CONGRUENT .
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2. In triangle ABC and PQR, angle A= angle Q and angle B= angle R. Which side of triangle PQR should be equal to side AB of triangle ABC so that the two triangles are congruent. Give reason for your answer.
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