Answer:
30 units
Step-by-step explanation:
The perimeter of the triangle is the sum of the two legs, or the shorter sides <em>a</em> and <em>b</em>, and the hypotenuse, the last and longest side, <em>c</em>.
We can already see that side <em>a </em>and <em>b</em> have the lengths of 5 and 12 units.
To find the length of <em>c</em>, use the formula <em>a² + b² = c²</em>.
Substitute our <em>a </em>and<em> b </em>values into the formula and solve for <em>c</em>.
<em>a² + b² = c²</em>
<em>5² + 12² = c²</em>
<em>25 + 144 = c²</em>
<em>169 = c²</em>
<em>√169 = √c²</em>
<em>13 = c</em>
The third side is 13 units long.
Now we can add our values for <em>a</em>, <em>b</em>, and <em>c</em> together to find the perimeter.
<em>5 + 12 + 13 = P</em>
<em>30 = P</em>
The perimeter is 30 units.
Good luck ^^
