Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 87

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CAT

IMPORTANT

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In figure, $ABC$ is a right angled triangle, right angled at $B . AD$ and $CE$ are the two medians drawn from $A$ and $C$ respectively. If $AC = 5 cm$ and $AD = 3 \sqrt{5} / 2 cm,$ find the length of $CE .$

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Important Questions on Geometry

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 88

In a $∆ ABC, AB = 10 cm, BC = 12 cm$ and $AC = 14 cm$ . Find the length of median $AD$ If $G$ is the centroid, find length of $GA .$

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 89

∆ ABC

is a right angled at

A

and

AD

is the altitude to

BC .

If

AB = 7 cm

and

AC = 24 cm .

Find the ratio of

AD

is to

AM

if

M

is the mid-point of

BC .

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 90

Area of

∆ ABC = 30 {cm}^{2} \cdot D

and

E

are the mid.points of

BC

and

AB

respectively. Find

A (∆ BDE)

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 91

The three sides of a triangle are given which one of the following is not a right angle?

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 92

In the following figure, $AD$ is the external bisector of $∠ EAC,$ and it intersects $BC$ produced to $D .$ If $AB = 12 cm, AC = 8 cm$ and $BC = 4 cm,$ find $CD .$

Question Image

HARD

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 93

In

Δ A B C

.

A B^{2} + A C^{2} = 2500

c m^{2}

and median

A D = 25

c m

. Find

B C

?

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 94

In the given figure, $AB = BC$ and $∠ BAC = 15 °, AB = 10,$ $cm .$ Find the area of $∆ ABC .$

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EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 95

In

ABC, G

is the centroid,

AB = 15 cm, BC = 18 cm

and

AC = 25 cm .

Find

GD,

where

D

is the mid-point

BC .