Respuesta :

Use Pythagorean theorem
a^2 + b^2 = c^2
In other words, sum of the squared smaller lengths are equal to the squared of the longest length

15^2 + 17^2 = c^2
225 + 289 = c^2
c^2 = 514
c = square root of 514
= 22.67156
Round it

Solution: 22.7 km

Answer:

22.7 km

Step-by-step explanation:

The Pythagorean Theorem is:

a² + b² = c²

where a and b are legs and c is the hypotenuse.

The hypotenuse is the longest side of a right triangle and can be identified as being across from the right angle. The legs are interchangeable between the variables a and b.

Because it's clear that x is the hypotenuse:

15² + 17² = x²

225 + 289 = x²

514 = x²

√514 = √x²

x = √514

Because we can't simplify √514 anymore, we can keep it as radical 514 or round it:

22.6715681 ≈ 22.7