Starting from point A, Kashem walked 300 meters towards North to B and then walked another 400 meters towards East to C. What is the shortest distance between C and A?

Starting from point A, Kashem walked 300 meters towards North to B and then walked another 400 meters towards East to C. What is the shortest distance between C and A? Correct Answer 500

Points A, B & C make a right - angled triangle. The shortest distance between C & A is CA. Now,  CA = (AB2  + BC2)1/2  = (3002 + 4002)1/2 = 500 m 

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How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.