WebQR is the angle bisector of ∠P. PQ = 20 cm, PR = 19 cm and QR = 13 cm. Concept used: The "Angle Bisector" Theorem says that an angle bisector of a triangle will divide the opposite side into two segments which are proportional to the other two sides of the triangle. Calculation: Let the side RS be x. So, QS = QR - RS = (13 - x) In ΔPQR, QS ... WebApr 3, 2024 · In a ΔPQR, PS is the angle bisector of ∠QPR which is equal to 120°. Find the length of PS, if PQ = 12 cm and PR = 8 cm. 5.2 cm; 2.4 cm; 4.8 cm; 6.4 cm; Answer (Detailed Solution Below) Option 3 : 4.8 cm. Free Tests. View all Free tests > Free. January Month Current Affair (1st Jan - 15th Jan)
In the given figure, PS is the bisector of QPR of Δ PQR Prove
WebIn Figure, PS is the bisector of ∠ QPR of ∆ PQR. Prove that QS/PQ = SR/PR Solution: Let us draw a line segment RT parallel to SP which intersects extended line segment QP at point T. ... Therefore, AD is the bisector of the angle BAC. Hence, proved. 10. Nazima is fly fishing in a stream. The tip of her fishing rod is 1.8 m above the surface ... WebApr 2, 2024 · In a ΔPQR, PS is the angle bisector of ∠QPR which is equal to 120°. Find the length of PS, if PQ = 12 cm and PR = 8 cm. nes console bundle
In figure, PS is the bisector of angle QPR and PT is perpendicular …
WebMar 22, 2024 · Class 6 Science NCERT Solutions. Class 7 Science NCERT Solutions. Class 8 Science NCERT Solutions. Class 9 Science NCERT Solutions. Class 10 Science NCERT Solutions. WebGiven that, PS is the angle bisector of ∠QPR. ∠QPS = ∠SPR … (1) By construction, ∠SPR = ∠PRT (As PS TR) … (2) ∠QPS = ∠QTR (As PS TR) … (3) Using these equations, we obtain. ∠PRT = ∠QTR. ∴ PT = PR. By construction, PS TR. By … 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 … nes console download