In Delta PQR- angle P - 60-circ- and angle Q - 50-circ- Which side of the triangle is the longest -QRPQPRNone

Question

Toppr Admin · Accepted Answer

Using angle sum property of triangle-xA0-x2220-P-x2220-Q-x2220-R-180-x2218-x21D2-60-x2218-50-x2218-x2220-R-180-x2218-x21D2-x2220-R-180-x2218-x2212-110-x2218-70-x2218-So -x2220-R is the largest angle and side opposite to largest angle is the longest side-x2234-PQ is the longest side-

In ΔPQR,∠P=60∘ and ∠Q=50∘. Which side of the triangle is the longest ?QRPQPRNone

Using angle sum property of triangle ∠P+∠Q+∠R=180∘⇒60∘+50∘+∠R=180∘⇒∠R=180∘−110∘=70∘So ∠R is the largest angle and side opposite to largest angle is the longest side.∴PQ is the longest side.

In $Δ P Q R, ∠ P = 60^{\circ}$ and $∠ Q = 50^{\circ}$ . Which side of the triangle is the longest ?
QR
PQ
PR
None