NCERT Solutions Class 10 Maths – Triangles | Chapter 6 Exercise – 6.5 Question 8

NCERT Class 10 Ex 6.5

Triangles | Chapter 6 Exercise 6.5 Question 8: 

In the following figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that

(i) OA2 + OB2 + OC2 − OD2 − OE2 − OF2 = AF2 + BD2 + CE2

(ii) AF2 + BD2 + CE2 = AE2 + CD2 + BF2

chapter 6 ex 6.5-8 fig i
figure 1

Solution: Detailed explanation of exercise 6.5 question 8 is given in the below image and YouTube video.

class 10 chapter-6 ex 6.5 Q-8
Figure 1: Chapter 6 Exercise 6.5 Question 8 Solution Part 1

 

class 10 chapter-6 ex 6.5 Q-8-cont
Figure 2: Chapter 6 Exercise 6.5 Question 8 Solution Part 2

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