In the given figure,

a chord BC of length 5 cm is the longest chord possible. if A is a point on the segment as shown, what kind of a triangle is $△$ ABC?

right-angled

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isosceles

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equilateral

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right-angled isosceles

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Solution

The correct option is A right-angled

The longest chord of the circle is the diameter of the circle.
$∴$ BAC is a semi-circle.
We know, angle in a semi-circle is a right angle.
$∴$ $∠$ A = 90 $^{\circ}$ .
Hence, $△$ ABC is a right angled triangle.

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