Question

In a triangle, the perpendicular from vertex to the base bisects the base. The triangle is

• A. Isosceles Triangle
• B. Right angled Triangle
• C. Equilateral Triangle
• D. Scalene Triangle

Answer 1

The correct option is A

Isosceles Triangle

In $△$ADB and $△$ADC

AD = AD [common]

∠ADB = ∠ADC [Equal to ${90}^{\circ }$]

BD = DC [Given]

Therefore, $△$ADB ≅ $△$ADC [SAS Criteria]

By CPCT, AB = AC

Therefore, $△$ABC is Isoceles Triangle.