CBSE students can refer to NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.5 Textbook Questions and Answers are provided by experts in order to help students secure good marks in exams.
Class 7 Maths NCERT Solutions Chapter 6 The Triangle and its Properties Ex 6.5
Ex 6.5 Class 7 Maths Question 1.
PQR is a triangle, right-angled at P. If PQ = 10 cm and PR = 24 cm, find QR?
Ex 6.5 Class 7 Maths Question 2.
ABC is a triangle right-angled atC. If AB = 25 cm and AC = 7cm, find BC?
Ex 6.5 Class 7 Maths Question 3.
A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.
Hence, the distance of the foot of the ladder from the wall is 9 m.
Ex 6.5 Class 7 Maths Question 4.
Which of the following can be the sides of a right triangle?
(i) 2.5 em, 6.5 cm, 6 cm.
(ii) 2 cm, 2 cm, 5 cm.
(iii) 1.5 cm, 2 cm, 2.5 cm.
In the case of right-angled triangles, identify the right angles.
Thus, the given sides form a right triangle and the right-angle is opposite to the side of length 2.5 cm.
Ex 6.5 Class 7 Maths Question 5.
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.
Let ACB by the tree before it broke at point C. and let its top Touch the ground at A after it broke. Then, ∆AABC is a right triangle, right-angled at B such that A’ B = 12 m, BC = 5 m.
By Pythagoras theorem, we have
Ex 6.5 Class 7 Maths Question 6.
Angles Q and ii of an APQR are 25° and 65°. Write which of the following is true:
(i) PQ2 + QR2 = RP2
(ii) PQ2 + RP2 = QR2
(iii) RP2 + QR2 = PQ2
Ex 6.5 Class 7 Maths Question 7.
Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.
Let ABCD be a rectangle such that AB = 40 m and AC = 41 m.
In right-angled ∆ABC, right-angled at B, by Pythagoras theorem, we have BC2 = AC2 – AB2
Ex 6.5 Class 7 Maths Question 8.
The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
Let ABCD be the rhombus such that AC = 30 cm and BD = 16 cm.
We know that the diagonals of a rhombus bisect each other at right angles.
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