Answer:
2. 7.8
Step-by-step explanation:
Since this is a right triangle, use Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs, and c is the hypotenuse.
The legs of the triangle are 5 ft and 6 ft. Therefore, 5 and 6 are a and b. The hypotenuse is unknown, so it can be left as c.
5^2+6^2=c^2
Evaluate the exponents
25+36=c^2
Add
61=c^2
Since we are trying to find c, we have to get c by itself. Since c is being squared, take the square root of both sides
√61=√c^2
√61=c
7.81024967591=c
Rounded to the nearest tenth:
7.8=c
The hypotenuse is about 7.8 feet
