HARD
7th Foundation
IMPORTANT
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The given figure shows three identical squares. Find x.
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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 9
In the figure (not drawn to scale), EFA is a right-angled triangle with ∠EFA=90o and FGB is an equilateral triangle, find y-2x
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EASY
7th Foundation
IMPORTANT
IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 10
In the figure (not drawn to scale), ABC and DEF are two triangles, CA is parallel to FD and CFBE is a straight line.
Find the value of x+y.
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EASY
7th Foundation
IMPORTANT
IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 11
In the figure (not drawn to scale), ACDF is a rectangle and BDE is a triangle. Find ∠BED.
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EASY
7th Foundation
IMPORTANT
IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 12
In the figure, ABCD is a rectangle, CEF is an equilateral triangle. Find x.
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EASY
7th Foundation
IMPORTANT
IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 13
Find the measure of ∠LNM in the given figure.
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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.