Home
Class 10
MATHS
S and T are points on sides PR and QR of...

S and T are points on sides PR and QR of ` Delta PQR ` such that `/_ P = /_ RTS` Show that ` Delta RPQ ~ Delta RTS`

Text Solution

AI Generated Solution

To prove that triangles \( \Delta RPQ \) and \( \Delta RTS \) are similar, we will use the Angle-Angle (AA) similarity criterion. ### Step-by-Step Solution: 1. **Given Information**: - We have triangle \( PQR \). - Points \( S \) and \( T \) are located on sides \( PR \) and \( QR \) respectively. - It is given that \( \angle P = \angle RTS \). ...
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/ Exemplar|14 Videos
  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6a|24 Videos
  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos
  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revisions Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

S and T are points on sides PR and QR of DeltaP Q R such that /_P=/_R T S . Show that DeltaR P Q ~DeltaR T S .

In figure , D and E are Points on side BC of a Delta ABC such that BD = CE and AD = AE . Show that Delta ABD cong Delta ACE.

S is any point on side QR of a Delta PQR . Show that PQ + QR+RP gt 2 PS .

S and T are points on the sides PQ and PR, respectively of Delta PQR , such that PT = 2 cm, TR = 4 cm and ST is parallel to QR. Find the ratio of the areas of Delta PST and Delta PQR .

In a triangle PQR, L and M are two points on the base QR, such that /_LPQ = /_QRP and /_RPM = /_RQP . Prove that: DeltaPQL ~ Delta RPM

If Q is a point on the side SR of a triangle Delta PSR such that PQ = PR then prove that PS > PQ

A and B are respectively the points on the sides PQ and PR of a Delta PQR such that PQ =12.5 cm, PA= 5 cm, BR = 6 cm and PB = 4 cm. Is AB abs QR? Give reason for your answer.

PQR is a triangle. S is a point on the side QR of DeltaPQR such that /_PSR = /_QPR . Given QP = 8 cm, PR = 6 cm and SR = 3 cm. ("area of " DeltaPQR)/("area of " Delta SPR)

PQR is a triangle. S is a point on the side QR of DeltaPQR such that /_PSR = /_QPR . Given QP = 8 cm, PR = 6 cm and SR = 3 cm. Find the lengths of QR and PS.

PQR is a triangle. S is a point on the side QR of DeltaPQR such that /_PSR = /_QPR . Given QP = 8 cm, PR = 6 cm and SR = 3 cm. Prove DeltaPQR ~ DeltaSPR .