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

Question

asked Apr 4, 2021 180k views

2 Answers

Moise · Answer 1 · 2021-04-11T02:54:43+0000

Answer:

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

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.