# 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.

**Answer**:

Since

**Question 3**:

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

**Answer**:

In right – angled at C

**Question 4**:

In the figure, and prove that

**Answer**:

In

[By Thales՚s Theorem]

Also

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.

**Answer**:

Let shortest side be in length

Then hypotenuse

And third side

We have,

Hence, the sides of triangle are , and .