In a circle, is a diameter of length . Point lies on the circumference. From , the…

MATHEMATICS · Single correct · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

In a circle,

AB

is a diameter of length

26\,\text{cm}

. Point

C

lies on the circumference. From

C

, the perpendicular

CD

is drawn to

AB

meeting it at

D

such that

AD=14\,\text{cm}

. What is the length of

CD

? (a)

2\sqrt{91}\,\text{cm}

(b)

2\sqrt{42}\,\text{cm}

(c)

13\,\text{cm}

(d)

4\sqrt{42}\,\text{cm}