Question
Download Solution PDFABC is an isosceles triangle such that AB = AC, \(\angle ABC\) = 55°, and AD is the median to the base BC. Find the measure of \(\angle BAD\).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
ABC is an isosceles triangle.
\(\angle ABC\) = 55°
AD is a median to BC.
Concept used:
As, AD is a median to BC, \(\angle BDA\) = 90°
Calculation:
In the right-angle triangle BAD,
∠BDA + ∠BAD + ∠ABD = 180°
90° + ∠BAD + 55° = 180°
∠BAD = 35°
∴ The measure of \(\bf \angle BAD\) is 35°.
Last updated on Jul 10, 2025
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