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

2 Answers

2 votes
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
User Cardflopper
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3 votes

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.

User Susana Mar Flores
by
8.3k points

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