In a right-angled triangle the hypotenuse and a perpendicular side are 113 and 112, respectively. Determine the length of the missing side

Respuesta :

Answer:

The length of the missing side is 15 units

Step-by-step explanation:

we know that

Any right triangle must satisfy the Pythagorean Theorem

so

[tex]c^2=a^2+b^2[/tex]

where

c is the hypotenuse (greater side

a and b are the legs (perpendicular sides

we have

[tex]c=113\ units\\a=112\ units[/tex]

substitute

[tex]113^2=112^2+b^2[/tex]

solve for b

[tex]b^2=113^2-112^2[/tex]

[tex]b^2=225\\b=15\ units[/tex]

therefore

The length of the missing side is 15 units