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If angle B and angle Q are acute angles such that sin B=sin Q,then prove that angle B=angle Q

Posted by Sneha Padhy 5 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Satjinder Dhillon 5 years, 5 months ago

Let there be two triangles ABC and PQR such that angle C=90⁰ and angle R=90⁰ now, sinB = AC/AB and SinQ=PR/PQ since, sinB = SinQ ⇒ AC/AB = PR/PQ ⇒ AC/PR = AB/PQ and also angleC = angleR ⇒ by SAS similarity, ∆ABC is similar to ∆PQR since corresponding angles of similar triangle are equal ⇒ angleB = angleQ

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CBSE > Class 10 > Mathematics