**Question 1:**

**In Δ ABC, X is the midpoint of BC.**

**AP is _____________**

**AX is _____________**

**Is BP = PC?**

*Answer:*

Given:

BX = XC

Therefore, AP is altitude.

AX is a median.

No, BP ≠ PC as X is the midpoint of BC

** **

**Question 2:**

**Draw a sketch for the following:**

**(i) In Δ PQR, QX is a median**

**(ii) In Δ ABC, AB and AC are altitudes of a triangle.**

**(iii) In ABC, BP is an altitude in the exterior of a triangle.**

*Answer:*

(i) Here, QX is a median in ΔPQR and PX = XR

(ii) Here, AB and AC are the altitudes of the ΔABC and CA ^ BA

(iii) BP is an altitude in the exterior of ΔABC

**Question 3:**

**Verify by drawing a diagram if the median and altitude of a isosceles triangle can be same.**

*Answer:*

Isosceles triangle means any two sides are same.

Take ΔPQR and draw the median when PQ= PR

PX is the median and altitude of the given triangle.

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