Mathematics
In the given figure, P is a point in the interior of ∠ABC. If PL ⊥ BA and PM ⊥ BC such that PL = PM, prove that BP is the bisector of ∠ABC.
Related Questions
Which of the following pairs of triangles are congruent ?
(a) △ABC and △DEF in which : BC = EF, AC = DF and ∠C = ∠F.
(b) △ABC and △PQR in which : AB = PQ, BC = QR and ∠C = ∠R.
(c) △ABC and △LMN in which : ∠A = ∠L = 90°, AB = LM, ∠C = 40° and ∠M = 50°
(d) △ABC and △DEF in which : ∠B = ∠E = 90°, AC = DF
In the given figure, equal sides BA and CA of △ABC are produced to Q and P respectively such that AP = AQ. Prove that PB = QC.
In the given figure, median AD of △ABC is produced. If BL and CM are perpendiculars drawn on AD and AD produced, prove that BL = CM.
In the given figure, M is the mid-point of AB and CD. Prove that CA = BD and CA || BD.
