## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 11 Triangles and its Properties Ex 11.5

Question 1.

PQR is a triangle, right-angled at P. If PQ = 10 cm and PR = 24 cm, find QR.

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Question 2.

ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, find BC.

Solution:

Question 3.

Find the value of x in each of the following figures. All measurements are in centimeters.

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Question 4.

Which of the following can be the sides of a right-angled triangle?

(i) 4 cm, 5 cm, 7 cm

(ii) 1.5 cm, 2 cm, 2.5 cm

(iii) 7 cm, 5.6 cm, 4.2 cm

Solution:

Question 5.

A 15 m long ladder reaches a window 12 m high from the ground on placing it against a wall. How far is the foot of the ladder from the wall?

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Question 6.

Find the area and the perimeter of the rectangle whose length is 15 cm and the length of one diagonal is 17 cm.

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Question 7.

If the diagonals of a rhombus measure 10 cm and 24 cm, find its perimeter.

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Question 8.

The side of a rhombus is 5 cm. If the length of one diagonal of the rhombus is 8 cm, then find the length of the other diagonal.

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