MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Dividing a Quantity in a Given Ratio

If OC is perp...

Question

If OC is perpendicular to AB, and BC = 5 cm as shown in the figure, find the length of AB.

Open in App

Solution

According to the question, we have

$O C ⊥ A B \Rightarrow A C = B C \dots (1)$

But, BC = 5 cm. … (2) [Given]

Since, AB = AC + BC

= 2BC

$= 2 \times 5$ [By (1) and (2)]

= 10 cm.

Suggest Corrections

thumbs-up

0

Similar questions

Q. Find the length of OC, if CD = 8cm and AD and BC are equal perpendiculars to line segment AB as shown below.

Q. In the given figure, OC is perpendicular to the chord AB. If AB = 8 cm, then the value of BC is .

Q. The figure below shows a circle centered at O and of radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. AP is perpendicular to BC. Find the length of the chord BC in cm.

Q. In the figure, O is the centre of the circle of radius 13 cm and chord AB is of length 24 cm. If OC is perpendicular from the centre to AB, then the value of OC equals :

In the given figure,

O

is the centre of circle and

A B = B C

O D

O E

are perpendicular to

B C

A B

O D

is perpendicular to

O E

O D = 5

D E

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to Ratio

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Dividing a Quantity in a Given Ratio

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon