You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question
The sides \( P Q , P R \) of a triangle \( P Q R \) are equal. and \( S , T \) are points on \( P R , P Q \) such that \( \angle P S Q \) and \( \angle P T R \) are right angles. Prove that the triangles \( P T R \) and \( P S Q \) are congruent if \( Q S \) and \( R T \) intersect at \( X \) . Prove that the triangle \( P T X \) and \( P S X \) are congruent.
Open in App
Solution
Verified by Toppr
Was this answer helpful?
3
Similar Questions
Q1
The sides PQ, PR of triangle PQR are equal, and S,T are points on PR,PQ such that ∠PSQand∠PTR are right angles. And hence, the triangles PSR and PSQ are congruent If the above statement is true then mention answer as 1, else mention 0 if false
View Solution
Q2
The sides PQ, PR of ΔPQR are equal, and S, T are points on PR, PQ such that ∠PSQ and ∠PTR are right angles. Hence, ΔPTR≅ΔPSQ
State whether the above statement is true or false.
View Solution
Q3
PQR is an isosceles triangle whose equal sides PQ and PR are at right angles. S and T are points on PQ such that QS=6SP and QT=2TP.PRS=θ,PRT=ϕ
View Solution
Q4
In fig(iv), T is a point on side QR of triangle PQR and S is a point such that RT = ST. Prove that PQ + PR > QS
View Solution
Q5
S and T are points on sides PR and QR of △PQR such that ∠P=∠RTS. Show that △RPQ∼△RTS.