Answer:
B. 46.1 in
Explanation:
First, we must find the hypotenuse of the triangle.
Since this is a right triangle, we can use Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
13 and 14 are the legs, because they form the right angle. x is the hypotenuse because it is opposite the right angle.
13^2+14^2=x^2
Evaluate each exponent.
13^2=13*13=169
14^2=14*14=196
169+196=x^2
Add 169 and 96
365=x^2
Take the square root of both sides.
√365=√x^2
√365=x
19.1049732=x
Round to the nearest tenth.
19.1=x
The hypotenuse is 19.1 inches
Now, find the perimeter. Add up all the sides of the triangle: the legs (13 in and 14 in) and the hypotenuse (19.1 in)
13 in +14 in +19.1 in
46.1 in
The perimeter is 46.1 inches and B is correct.