Respuesta :
To see if this possible triangle is a right triangle we have to apply the Pythagorean theorem:
In any right triangle:
hypotenuse²=leg₁²+leg₂²
In this case the possible hypotenuse will be the largest side:
hypotenuse=23 ft
and the sides the legs:
leg₁=6 ft
leg₂=21 ft
Therefore:
hypotenuse=(23 ft)²=529 ft²
leg₁²+leg₂²=(6 ft)²+(21 ft)²=477 ft²
becuse:
hypotenuse²≠leg₁²+leg₂²
529 ft²≠477 ft²
This possible triangle is not a right triangle.
In any right triangle:
hypotenuse²=leg₁²+leg₂²
In this case the possible hypotenuse will be the largest side:
hypotenuse=23 ft
and the sides the legs:
leg₁=6 ft
leg₂=21 ft
Therefore:
hypotenuse=(23 ft)²=529 ft²
leg₁²+leg₂²=(6 ft)²+(21 ft)²=477 ft²
becuse:
hypotenuse²≠leg₁²+leg₂²
529 ft²≠477 ft²
This possible triangle is not a right triangle.
