Answer:
Leg a = 2.6 mi
Leg b = 3.2 mi
No, the biologist will not hike more than 5 mi.
Step-by-step explanation:
The legs of the figure are the two shorter sides. So, the legs on this triangle are 2.6 mi and 3.2 mi long.
To find the hypotenuse, we can use this formula, with c being the length of the route the biologist will take.
a² + b² = c²
We can already plug in the values for a and b.
2.6² + 3.2² = c²
This can simplify to-
6.76 + 10.24 = c²
17 = c²
Now, find the square root of 17 and c² to find the value of c.
[tex]\sqrt{17}[/tex] = [tex]\sqrt{c^{2} }[/tex]
4.1 = c
The hypotenuse is 4.1 mi long.
4.1 > 5, so the answer is no.
Good luck ^^
