Answer:
5^2+12^2= c^2
25+144=c^2
169=c^2
find the square root of 169
the length is = 13 ft
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
In this concept, it forms a right triangle because it is 5 feet high, the base is 12 feet horizontally, and you need to find the hypotenuse (the longest side of the triangle/the slanted side). In this case, you can use the Pythagorean Theorem, which is [tex]a^{2}+b^{2}=c^{2}[/tex], where a and b are the lengths of the triangle, and c is the hypotenuse.
-We know a and b already, which are 5 and 12. So substitute a and b in the equation: [tex]5^{2}+12^{2}=c^{2}[/tex]
-Then, simplify to get: [tex]25+144=c^{2}[/tex]
-Add the 25 and 144 to then get: [tex]169=c^{2}[/tex]
-Find the square root of both sides to only get c left (the hypotenuse): [tex]\sqrt{169}=\sqrt{c^{2}}[/tex]
-Then you’ll get: [tex]\sqrt{169}=c[/tex], which simplifies to [tex]13=c[/tex]
ANSWER: 13
Hope this helps and answers your question! :)
