5. ABC is an isosceles triangle with \small AB=AC. Draw \small AP\perp BC to show that \small \angle B=\angle C.

Answers (1)

Consider \Delta ABP  and  \Delta ACP,

(i)   \angle APB\ =\ \angle APC\ =\ 90^{\circ}       (Since it is given that AP is altitude.)

(ii)   AB\ =\ AC                                      (Isosceles triangle)

(iii)   AP\ =\ AP                                     (Common in both triangles)

Thus by RHS axiom we can conclude that :           

           \Delta ABP\ \cong \Delta ACP

Now, by c.p.c.t.we can say that : 

           \angle B\ =\ \angle C

Most Viewed Questions

Related Chapters

Preparation Products

Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
Buy Now
Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
Buy Now
NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
Buy Now
NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
NEET Foundation + Knockout NEET 2025 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions