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Standard XII

Mathematics

Circular Measurement of Angle

In Δ ABC, the...

Question

In ∆ABC, the altitude from A to BC meets BC at D and the altitude from B to CA meets AD at H. If

AD = 4, BD = 3, CD = 2 then the length of HD is

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3/2

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5/2

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Solution

The correct option is B
3/2

Let BH produced meet AC in E , From cyclic quadrilateral DCEH,

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Similar questions

In ∆ABC, the altitude from A to BC meets BC at D and the altitude from B to CA meets AD at H. If

AD = 4, BD = 3, CD = 2 then the length of HD is

Q. In triangle

A B C

, the altitude from

A

B C

meets

B C

D

and the altitude from

B

C A

meets

A D

H

. If

A D

= 4

cm,

B D

= 3

cm and

C D

= 2

cm and if

\frac{A B}{B D} = \frac{A H}{H D}

, then the length of

H D

is __________.

Q. If the altitude

A D

of an acute angled

Δ A B C

meets the opposite side

B C

D

and the circumcircle at

E

, then the length of

D E

Q. As shown in figure AD is the altitude on BC and AD produced .meets the circumcircle of

Δ A B C

at P where DP= x . Similarly EQ = y and FR = z If a ,b ,c respectively denotes the sides BC , CA and AB then

\frac{a}{2 x} + \frac{b}{2 y} + \frac{c}{2 z}

Q. In a

△ A B C,

perpendicular

A D

from

A

B C

meets

B C

D .

B D = 8

cm,

D C = 2

cm and

A D = 4

cm, then

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In ∆ABC, the altitude from A to BC meets BC at D and the altitude from B to CA meets AD at H. If AD = 4, BD = 3, CD = 2 then the length of HD is

The correct option is B 3/2Let BH produced meet AC in E , From cyclic quadrilateral DCEH,

In ∆ABC, the altitude from A to BC meets BC at D and the altitude from B to CA meets AD at H. If

AD = 4, BD = 3, CD = 2 then the length of HD is

The correct option is B
3/2

Let BH produced meet AC in E , From cyclic quadrilateral DCEH,