**ML Aggarwal CBSE Solutions Class 7 Math 10th Chapter Triangle and its Properties Exercise 10.1**

**(1) In the adjoining figure:**

**(i) Name the vertex opposite to side PQ.**

**(ii) Name the side opposite to vertex Q.**

**(iii) Name the angle opposite to side QR.**

**(iv) Name the side opposite to ∠R**

**Solution: **

(vi) Isosceles Triangle

**(b)** (i) Acute angles

(ii) Right angled

(iii) acute angled

(iv) Obtuse angled

(v) Obtuse angled

(vi) right angled

**(3) In the adjoining ΔPQR, if D is the mid-point of **

**__**

**QR, then**

**(i)**

**__**

**PM is …..**

**(ii)**

**__**

**PD is …..**

**Is QM = MR?**

**Solution: **(i) an altitude

(ii) A median, No

**(4) Will an altitude always lie in the interior of triangle? If no, draw a rough sketch to show such a case.**

**Solution: **No.

**(5) Can you think of a triangle in which two altitudes of the triangle are its sides? If yes, draw a rough sketch to show such a case.**

**Solution: **Yes, a right angled triangle.

**(6) Draw rough sketches for the following:**

**(i) In ΔABC, BE is a median of the triangle.**

**(ii) In ΔPQR, PQ and PR are altitudes of the triangle.**

**(iii) In ΔXYZ, XL is an altitude in the exterior of the triangle.**

**(7) Take an equilateral triangle and draw its medians and altitudes and check that the medians and altitude are same.**

**Solution: **