WebAnswers (1) A line RT is drawn parallel to SP which intersect QP produced at T. Given: PS is the bisector of . By construction, (as PS TR) (as PS TR) From the above equations, we … WebSolution: Given: PR > PQ and PS bisects ∠QPR To prove: ∠PSR > ∠PSQ As PR > PQ, ∠PQS > ∠PRS (Angle opposite to larger side is larger ) ... (1) PS is the angle bisector of ∠QPR. …
PS is the bisector of ∠QPR, Prove that 1) ∠QPS+∠PSR= ∠PRT 2) ∠PQS+…
WebSolution: Given: PR > PQ and PS bisects ∠QPR To prove: ∠PSR > ∠PSQ As PR > PQ, ∠PQS > ∠PRS (Angle opposite to larger side is larger ) ... (1) PS is the angle bisector of ∠QPR. ∠QPS = ∠RPS ... (2) [Since,PS bisects ∠QPR] ∠PSR is the exterior angle of ΔPQS. ∠PSR = ∠PQS + ∠QPS ... (3) [Using exterior angle sum property] WebInformation about In figure, PS is the bisector of angle QPR and PT is perpendicular to QR. Show that angle TPS=1/2 (Angle Q-Angle R)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In figure, PS is the bisector of angle QPR and PT is perpendicular to QR. days inn by wyndham el centro el centro ca
In the given figure, PT QP and PS bisects QPR. If Q = 60^o and
WebFeb 20, 2024 · In the ΔPQR, PS is the angle bisector of the ∠QPR, PQ ∶ PR = 2 ∶ 3, By Angle bisector theorem, ⇒ Area of ∆PQS/Area of ∆PSR = 2/3. ⇒ Area of ∆PSR/Area of ∆PQR = 3/5. ∴ Area of ∆PSR = 3/5 × 180 = 108 cm 2. Download Solution PDF. Share on Whatsapp Latest SSC CPO Updates. WebMar 26, 2024 · Complete step by step answer: Given PS is the bisector of ∠ Q P R in triangle PQR. Bisector divides any two given entities into two equal parts. Here, we have an angle … WebApr 3, 2024 · PS is the bisector of ∠QPR PR = 42 cm, QR = 24 cm and QS is 4 cm less than SR. Concept Used: Angle bisector theorem, If ∠QPS = ∠RPS, then PQ/QS = PR/SR Calculation: According to the question, we have QS = SR - 4 ⇒ QR = QS + SR ⇒ 24 = SR - 4 + SR ⇒ 2SR = 28 ⇒ SR = 14 cm ⇒ QS = 14 - 4 ⇒ QS = 10 cm Now, According to the concept … days inn by wyndham elizabethtown