Question

In an isosceles triangle ABC, with AB=AC, if BD and CE are its altitudes, then BD is $....$CE

• A. Equal to
• B. Less than
• C. More than
• D. Less than or more than

Answer 1

The correct option is A Equal to

Given: $△ABC$, $AB=AC$, $BD\perp AC$ and $CE\perp AB$
Area of triangle = $\frac{1}{2}base\times height$
Area of $△ABC$ = $\frac{1}{2}AB\times CE=\frac{1}{2}BD\times AC$
$CE=BD$ (Since, $AB=AC$)