wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Prove that, if the bisector of BAC of ABC is perpendicular to side BC, then ABC is an isosceles triangle.

Open in App
Solution


In △ADB and △ADC
∠BAD = ∠CAD (AD is the bisector of ∠BAC)
∠BDA = ∠CDA = 90 (Given)
AD = DA (Common)
By ASA test of congruency
△ADB ≅ △ADC
∴ ∠B = ∠C (corresponding angles of congruent triangles)
If two angles of a traingle are equal, then the traingle is said to be a isosceles triangle.

flag
Suggest Corrections
thumbs-up
10
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Criteria for Congruency
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon