**ML Aggarwal CBSE Solutions Class 7 Math 10th Chapter Triangle and its Properties Exercise 10.5**

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

**Solution: **

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

**(3) Find the value of x in each of the following figures. All measurements are in centimetres.**

**Solution: **

**(4) Which of the following can be 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**

**In case of right angled triangles, identify the right angles.**

**Solution: **

**(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?**

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

**Solution: **

**(7) If the diagonals of a rhombus measure 10 cm and 24 cm, find the perimeter.**

**(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.**

**Solution: **