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### In given figure ∠1 = ∠2 and ∆NSQ ≅ ∆MTR , then prove that ∆PTS ~ ∆ PRQ .

### OR

###
In an equilateral triangle ABC, D is a point on the side BC such that BD = 1/3 BC. Prove that 9AD
^{
2
}
= 7AB
^{
2
}

This is a question of CBSE Sample Paper - Class 10 - 2017/18.

You can download the question paper here https://www.teachoo.com/cbse/sample-papers/

###
**
Question 17
**

###
In an equilateral triangle ABC, D is a point on the side BC such that BD = 1/3 BC. Prove that 9AD
^{
2
}
= 7AB
^{
2
}

This is exactly same as Ex 6.5, 15.