Question

2) In A PQR, PD and QE are altitudes. If QR = 6 cm, PR = 10 cm and PD = 8
cm, find QE.​

Answer 1

Please refer to the attachment given.

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Answer 2

Step-by-step explanation:

In Δ PQR, D is the mid-point of QR.  

PM is _______________

PD is ________________

Is QM = MR?



Answer:

Given: D is the midpoint of QR

So, QD = DR

PM is altitude.

PD is median.

No, QM ≠ MR as D is the mid-point of QR.

Question 2:

Draw rough sketches for the following:

(a) In Δ ABC, BE is a median.

(b)In Δ PQR, PQ and PR are altitudes of the triangle.

(c) In Δ XYZ, YL is an altitude in the exterior of the triangle.

Answer:

Here, BE is a median in Δ ABC and AE = EC.

 

                                                 

 

 

(b) Here, PQ and PR are the altitudes of the Δ PQR and RP Ʇ QP.

                                                    

(c) YL is an altitude in the exterior of Δ XYZ.

                                                        

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 Δ ABC and draw the median when AB = AC.

AL is the median and altitude of the given triangle.



                                                  Exercise