Answer:
30
Step-by-step explanation:
To begin, first find the length of the third side of the triangle. We are given that the two short sides of the triangle have lengths of 5 and 12. Use the Pythagorean Theorem to find the length of the third side:
a2+b2=c2,
where a and b represent the two shorter sides of the triangle, and c is the hypotenuse:
a2+b2=c2
52+122=c2
25+144=c2
169=c2
169−−−√=c2−−√
c=13
Now that we have the lengths of all three sides, add them together to find the perimeter:
5+12+13=30
The perimeter of the triangle is 30.