To solve a riddle, a girl is asked to join three points A(7,5), B(2,3) and C(6,-7) with a sketch pen - Maths - Coordinate Geometry

Question

To solve a riddle, a girl is asked to join three points A(7,5),
B(2,3) and C(6,-7) with a sketch pen After joining these points, a
triangle is obtained by her What type of triangle is it? What
values are depicted in the question?

Rishabh Mittal · Accepted Answer

Dear Student ,
Please find below the solution to the asked query :

Points A7,5 , B2,3 and C6,-7 
AB=2-72+3-52=-52+-22=25+4=29 units 
BC=6-22+-7-32=42+-102=16+100=116=229 units 
CA=7-62+5--72=12+122=1+144=145 units 
AB2+BC2=292+2292=29+116=145 units 
CA2=1452=145 units 
As ,  AB2+BC2=CA2So , it is a right angled triangle 
Value of a girl having good knowledge of shapes is depicted in the question 
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To solve a riddle, a girl is asked to join three points A(7,5), B(2,3) and C(6,-7) with a sketch pen. After joining these points, a triangle is obtained by her. What type of triangle is it? What values are depicted in the question?