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Given RST equals NPQ. RT = 7x-5 NQ = 5x+11 find the length of RT and NQ

User JoGusto
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2 Answers

1 vote
I think it’s RT= 51 And NQ= 51
User Wwwclaes
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5 votes

Given :

As it is not given whether RST and NPQ are collinear points or vertices of Triangle.

Whatever , if these two shapes are congruent , then their corresponding parts whether side length or Part or whole of segment will be congruent with each other.

RT = N Q [Corresponding part of congruent shapes]

→7 x -5 = 5 x + 11

Taking variable on one side and constant on another side

7 x - 5 x = 11 + 5

2 x = 16

Dividing both sides by 2, we get

x=8

RT = 7 × 8 -5= 56 -5 =51 Units

N Q= 5 × 8 + 11= 40 + 11= 51 Units



User Rajesh Peram
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