chapter 1 Geometric Twins - Part 6

In △ABC, if median AD is also perpendicular to BC, then △ABC is:

Type: MCQ • Marks: 1
In △ABC, if median AD is also perpendicular to BC, then △ABC is:
Options
A. A scalene triangle
B. A right triangle only
C. An obtuse triangle
D. An isosceles triangle (AB = AC)
Explanation
In △ABD and △ACD: BD = CD, ∠ADB = ∠ADC = 90°, AD = AD => △ABD ≅ △ACD by SAS => AB = AC.
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Class 7th Ganita Prakash 2

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