From the origin

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

From the origin

O

, point

A

is marked at 2 units to the right. A perpendicular

AB = 3

units is drawn and

B

is joined to

O

. The length

OB

is set off on the number line to point

C

. From

C

, another perpendicular

CD = 4

units is drawn and

D

is joined to

O

. When

OD

is transferred onto the number line, which number is obtained? (a)

\sqrt{25}

(b)

\sqrt{29}

(c)

\sqrt{45}

(d)

\sqrt{13}