Question

I market the sides of a triangle are 15 CM , 36 cm and 39 CM verify that it is a right angle triangle

Answer 1

Sides = 15 cm, 36cm, 39 cm.

For a right triangle ∆ABC,

By pythagoraus theorum,

(15)^2 + (36)^2 = (39)^2

225 + 1296 = 1521

1521 = 1521.

Hence, varified. Ans

Answer 2

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