IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 13

EASY

7th Foundation

IMPORTANT

Earn 100

Find the measure of $∠ L N M$ in the given figure.

50% studentsanswered this correctly

Important Questions on The Triangle and its Properties

MEDIUM

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 14

A long ladder reached a window

24 m

from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.

MEDIUM

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 15

A tree is broken at a height of

5 m

from the ground and its top touches the ground at a distance of

12 m

from the base of the tree. Find the original height of the tree.

MEDIUM

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 16

A

34 m

long ladder reached a window

16 m

from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.

MEDIUM

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 17

Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is

28 cm

and diagonal is

35 cm

. What will be the correct answer?

EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 18

State ‘

T

’ for true and ‘

F

’ for false.
(i) In the given right-angled triangle

A B C

,

∠ B = 65^{o}

,

∠ C = 35^{o}

, then

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

(ii) The length of the third side of a triangle cannot be smaller than the difference of the lengths of the other two sides.
(iii) A triangle can have only one median.

EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 19

Which of the following statements is TRUE?

Statement $- 1$ : The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Statement $- 2$ : If $P$ is a point on the side $B C$ of $A B C$ . Then $(A B + B C + A C) > 2 A P$ .

HARD

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 20

Find the values of $x$ and $y$ respectively.

Question Image