Question

A triangle has sides of lengths 12, 14, and 19. is it a right triangle? explain.

Answer 1

No, it isn't. Right triangle's side lengths follow the Pythagorean Theorum
a^2+b^2=c^2
if you plug it in..
12^2+14^2=19^2
if you solve it..
340=361
this isn't true so it isn't a right triangle

Answer 2

Answer: NO , it is not a right triangle.

Explanation:

• Pythagoras theorem tells that the square of the largest side is equal to the sum of the squares of the other two sides.

Given: The side-length of a triangle: 12, 14, and 19.

The largest line segment : 19

Consider it as a right triangle , then

`12^2+14^2=19^2\\\\\Rightarrow\ 144+196=361\\\\\Rightarrow\ 340=361.........\text{which is not true.}`

Hence, it is not a right triangle.