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Define altitude of a triangle. Write its properties.

Important Questions on Triangle

MEDIUM

Mathematics>Geometry>Triangle>Altitude of Triangle

In the given figure, if

AB = 8 cm

AC = 10 cm

∠ ABD = 90 °

and

AD = 17 cm

, then the measure of

CD

is:

EASY

Mathematics>Geometry>Triangle>Altitude of Triangle

△ P Q R

∠ R = 54 °

, the perpendicular bisector of

P Q

S

meets

Q R

T

. If

∠ T P R = 46 °

, then what is the value(in degrees) of

∠ P Q R

MEDIUM

Mathematics>Geometry>Triangle>Altitude of Triangle

In a

△ ABC

, D and E are points on the sides

AC

and

BC

, respectively such that

DE

∥

AB

. F is the point on

CE

such that

DF

∥

AE

. If

CE

= 6 cm

, and

CF

= 2.5 cm

, then

BC

is equal to:
Question Image

MEDIUM

Mathematics>Geometry>Triangle>Altitude of Triangle

In a triangle

ABC

DE

is parallel to

BC

;

AD = a

DB = a + 4

AE = 2 a + 3

EC = 7 a

. What is the value of

' a'

a > 0

MEDIUM

Mathematics>Geometry>Triangle>Altitude of Triangle

In a triangle

A B C

, the medians

A D

and

B E

intersect at

G

. A line

D F

is drawn parallel to

B E

such that

F

is on

A C

. If

A C = 9 cm

, then what is

C F

equal to?

EASY

Mathematics>Geometry>Triangle>Altitude of Triangle

In the given figure, the measure of $∠ BAC$ is:

Question Image

EASY

Mathematics>Geometry>Triangle>Altitude of Triangle

The perimeters of two similar triangles

A B C

and

P Q R

are

78 cm

and

46.8 cm

respectively. If

P Q

=

11.7

, then the length of

A B

is:

MEDIUM

Mathematics>Geometry>Triangle>Altitude of Triangle

Let

∆ ABC ~ ∆ RPQ

and

\frac{ar (∆ ABC)}{ar (∆ PQR)} = \frac{4}{9}

. If

AB = 3 cm

BC = 4 cm

and

AC = 5 cm

, then

RP

(in

cm

) is equal to:

MEDIUM

Mathematics>Geometry>Triangle>Altitude of Triangle

∆ A B D

C

is the midpoint of

B D

. If

A B

= 10

cm, AD

= 12

cm and

A C

= 9

cm, then

B D = ?

EASY

Mathematics>Geometry>Triangle>Altitude of Triangle

The angles of a triangle are in the ratio of 1 : 2 : 3. What is the measure of the smallest angle (in degrees)?

EASY

Mathematics>Geometry>Triangle>Altitude of Triangle

Arrange the angles of the triangle from smallest to largest in the triangle, where the sides are

AB = 7 cm, AC = 8 cm

and

AC = 9 cm

MEDIUM

Mathematics>Geometry>Triangle>Altitude of Triangle

$ABC$ is an equilateral triangle of side $2 a$ , then length of one of its altitude is $a \sqrt{x}$ . The value of $a$ is _____.

EASY

Mathematics>Geometry>Triangle>Altitude of Triangle

△ ABC

, D is a point on BC such that AD is the bisector of

∠ A

, AB

= 11.7 cm

, AC

= 7.8 cm

and BC

= 13 cm

. What is the length of DC (in

cm

EASY

Mathematics>Geometry>Triangle>Altitude of Triangle

In a triangle, if the measures of two sides are

5 cm

and

8 cm

, then the third side can be:

EASY

Mathematics>Geometry>Triangle>Altitude of Triangle

△ ABC, ∠ A = 54 °

. If

I

is the incentre of the triangle, then the measure of

∠ BIC

is _____.

MEDIUM

Mathematics>Geometry>Triangle>Altitude of Triangle

S

is the incentre of

∆ PQR

. If

∠ PSR = 125^{°}

, then the measure of

∠ PQR

is:

MEDIUM

Mathematics>Geometry>Triangle>Altitude of Triangle

∆ ABD

C

is the midpoint of

BD

. If

AB = 10 cm

AD = 12 cm

and

AC = 9 cm

then

BD =

EASY

Mathematics>Geometry>Triangle>Altitude of Triangle

In the triangle

A B C

∠ B A C = 50 °

and the bisectors of

∠ A B C

and

∠ A C B

meets at

P

. What is the value (in degrees) of

∠ B P C

MEDIUM

Mathematics>Geometry>Triangle>Altitude of Triangle

$X M$ is a median in $△ X Y Z, X Y^{2} + X Z^{2} = 328$ and $X M = 8$ then $Y Z =$ _____.

EASY

Mathematics>Geometry>Triangle>Altitude of Triangle

∆ A B C, A B = A C

and

A L

is perpendicular to

B C

L

. In

∆ D E F, D E = D F

and

D M

is perpendicular to

E F

M

. If

(a r e a o f ∆ A B C) : (a r e a o f ∆ D E F) = 9.25

, then

\frac{D M + A L}{D M - A L}

is equal to:

Define altitude of a triangle. Write its properties.

Important Questions on Triangle

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