Question

A mosaic consists of triangular tiles. The smallest tiles have side lengths 6cm, 10cm, an 12cm. Are these tiles in the shape of right triangle? Explain

Answer 1

Answer:

Is not a right triangle

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the greater side (the hypotenuse)

a and b are the legs

Verify

we have

$a=6\ cm\\b=10\ cm\\c=12\ cm$

substitute

$12^2=6^2+10^2$

$144=36+100$

$144\neq 136$

so

The length sides of triangle not satisfy the Pythagorean Theorem

therefore

Is not a right triangle