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

1 answer
Question:

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

Answers

Answer:The length of the missing side is 15 unitsStep-by-step explanation:we know thatAny right triangle must satisfy the Pythagorean Theoremso[tex]c^2=a^2+b^2[/tex]wherec is the hypotenuse (greater sidea and b are the legs (perpendicular sideswe 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]thereforeThe length of the missing side is 15 units

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