PS is an altitude of an isosceles triangle PQR in which PQ = PR Show that PS bisects angle - Maths - Triangles

Question

PS is an altitude of an isosceles triangle PQR in which PQ = PR
Show that PS bisects angle P ( PLS ANS URGENTLT DEAR EXPERTS)

Brijendra Pal · Accepted Answer

Dear Student,
<img src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ana_qa_image_57b2f16f096ed%20png">

In triangle PQS and PRS, PQ = PRPS= PS   common ∠PSQ=∠PSR= 90 degreeSo △PSQ≅△PSR  RHS congruencyHence ∠QPS=∠RPSSo PS bisect the angle PRegards

PS is an altitude of an isosceles triangle PQR in which PQ = PR .Show that PS bisects angle P ( PLS ANS URGENTLT DEAR EXPERTS)