I market the sides of a triangle are 15 CM , 36 cm and 39 CM verify that it is a right angle triangle
Answers & Comments
Namit1111
Let AB=15cm BC=36cm CA=39cm AB^2=BC^2+CA^2 15^2=36^2+39^2 225=1296+1521 225=2815. it is wrong. AB^2 is not equal to BC^2+CA^2
BC^2=AC^2+AB^2 36^2=39^2+15^2 1296=1521+225 1296=1746. it is wrong BC^2 is not equal to AC^2+AB^2
AC^2=BC^2+AB^2 39^2=36^2+15^2 1521=1296+225 1521=1521 it is right AC^2 is equal to BC^2+AB^2 hence ABC is a right angle triangle, right angled at B with AC as it's hypotenuse
Answers & Comments
BC=36cm
CA=39cm
AB^2=BC^2+CA^2
15^2=36^2+39^2
225=1296+1521
225=2815. it is wrong.
AB^2 is not equal to BC^2+CA^2
BC^2=AC^2+AB^2
36^2=39^2+15^2
1296=1521+225
1296=1746. it is wrong
BC^2 is not equal to AC^2+AB^2
AC^2=BC^2+AB^2
39^2=36^2+15^2
1521=1296+225
1521=1521 it is right
AC^2 is equal to BC^2+AB^2
hence ABC is a right angle triangle, right angled at B with AC as it's hypotenuse