CBSE Class 10-Mathematics: Chapter – 6 Triangles Part 11 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 8:

ABC is a right triangle right angled at . Let and let p be the length of perpendicular from C on AB, prove that

(i)

(ii)

Marks-3-Che-6-Que-8- the Length of Perpendicular

Answer:

(i) Draw

Then,

Now of

Also, area of

Then,

(ii) Since is a right-angle triangle with

Thus

Question 9:

In figure, a triangle ABC is right-angled at B. side BC is trisected at points D and E, prove that 8

Answer:

Given: is right-angled at B. Side BC is trisected at D and E.

To prove:

Proof: D and E are the paints of trisection of BC

In right-angled triangle ABD

In

In

From (ii) and (iii) , we have

From (v) and (vi) , we get