1). What is the perimeter of the triangle?
с
5 mm
12 mm

30

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.