Gleams of Mathematics - 7>Chapter 5 - Triangle>Exercise 5 (c)>Q 3

MEDIUM

7th Uttar Pradesh Board

IMPORTANT

Earn 100

$A D, B E$ and $C F$ are the medians of any $∆ A B C$ and $G$ its centroid. What is the type of $∆ G B C$ ? Investigate through drawing a scalene triangle.

Important Questions on Triangle

MEDIUM

7th Uttar Pradesh Board

IMPORTANT

Gleams of Mathematics - 7>Chapter 5 - Triangle>Exercise 5 (c)>Q 3

A D, B E

and

C F

are the medians of any

∆ A B C

and

G

its centroid. What is the type of

∆ G B C

? Investigate through drawing an isosceles triangle.

MEDIUM

7th Uttar Pradesh Board

IMPORTANT

Gleams of Mathematics - 7>Chapter 5 - Triangle>Exercise 5 (c)>Q 3

A D, B E

and

C F

are the medians of any

∆ A B C

and

G

its centroid. What is the type of

∆ G B C

? Investigate through drawing an equilateral triangle.

HARD

7th Uttar Pradesh Board

IMPORTANT

Gleams of Mathematics - 7>Chapter 5 - Triangle>Exercise 5 (d)>Q 1

Draw a perpendicular bisector

l

of the line-segment

A B

. Take any point

P

on

l

and measure

P A

and

P B

.

HARD

7th Uttar Pradesh Board

IMPORTANT

Gleams of Mathematics - 7>Chapter 5 - Triangle>Ability Exercise 5>Q 8

Construct a triangle

A B C

, whose base is

7 cm, ∠ B = 60 °

and the sum of two sides is

9 cm

.

HARD

7th Uttar Pradesh Board

IMPORTANT

Gleams of Mathematics - 7>Chapter 5 - Triangle>Ability Exercise 5>Q 9

Construct a triangle

A B C

, whose one angle is

120 °

and the two sides are

5 cm

and

6 cm

, respectively, then find its circumcentre of the triangle.

HARD

7th Uttar Pradesh Board

IMPORTANT

Gleams of Mathematics - 7>Chapter 5 - Triangle>Ability Exercise 5>Q 10

Construct an equilateral triangle, whose side is

6 cm

, then find the centroid of the triangle and find the distance between the vertex and centroid.

HARD

7th Uttar Pradesh Board

IMPORTANT

Gleams of Mathematics - 7>Chapter 5 - Triangle>Ability Exercise 5>Q 11

The ratio of the sides of a triangle

P Q R

is

4 : 5 : 6

construct a triangle

A B C

similar to

P Q R

. Whose base is

8 cm

.

HARD

7th Uttar Pradesh Board

IMPORTANT

Gleams of Mathematics - 7>Chapter 5 - Triangle>Ability Exercise 5>Q 13

In the enclosed figure the area of $D E F$ will be:

Question Image

$D, E, F$ are the mid-point of the sides.