CBSE Class 10-Mathematics: Questions and Answers Chapter – 6 Triangles Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 2:

and their areas are respectively and . If , find BC.

Che-6-Mar-2-Que-2-Areas Are Respectively



Question 3:

ABC is an isosceles right triangle right-angled at C. Prove that .

ABC is an Isosceles Right Triangle


In right – angled at C

Question 4:

In the figure, and prove that

By Thale՚S Theorem



[By Thales՚s Theorem]


from (i) and (ii) , we get

[By the converse of Thales՚s Theorem]

Question 5:

The hypotenuse of a right triangle is 6 m more than the twice of the shortest side. If the third side is less than the hypotenuse. Find the side of the triangle.


Let shortest side be in length

Then hypotenuse

And third side

We have,

Hence, the sides of triangle are , and .