# NCERT Class 7 Mathematics Solutions: Chapter 6 – the Triangle and Its Properties Exercise 6.5 Part 3 (For CBSE, ICSE, IAS, NET, NRA 2022)

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1. A tree is broken at a height of from the ground and its top touches the ground at a distance of from the base of the tree. Find the original height of the tree.

Answer:

Consider, represents the tree before it broken at the point and let the top touches the ground at after it broke.

Then, is a right angled triangle, right angled at .

Using Pythagoras theorem,

In

So, the total height of the tree

2. Angles of a .

Write which of the following is true:

(i)

(ii)

(iii)

Answer:

In ,

[By Angle sum property of a ]

So is a right angled triangle, right angled at .

[By Pythagoras theorem]

Hence, Option (ii) is correct.