Question

Which of the triangles below is not a right triangle?

A.) 3 cm, 4 cm, 5 cm

B.) 6 ft, 8 ft, 12 ft

C.) 27 cm, 36 cm, 45 cm

Answer 1

B.) 6 ft, 8 ft, 12 ft

Explanation:

Answer 2

`B)\ 6ft,8ft,12ft`

Explanation:

Pythagorean Theorem : In a right triangle, square of hypotenuse is equal to the sum of the squares of the other sides.

`(A)\ 3cm,4cm,5cm\\5^2=25\\3^2+4^2=9+16=25\\5^2=3^2+4^2`

Hence these sides represent a right triangle.

`(B)\6ft.8ft,12ft\\12^2=144\\6^2+8^2=36+64=100\\12^2\\ot=6^2+8^2`

Hence this does not represent a right triangle.

`(C)\27cm,36cm,45cm\\45^2=2025\\27^2+36^2=729+1296=2025\\45^2=27^2+36^2`

This represents a right triangle.