Question

Please help me with this homework

Answer 1

Answer:

20km

Step-by-step explanation:

we need to find c, which is the hypotenuse of the right triangle.

we know the lengths of the legs, which are given as 16km and 12km

you might notice that 16km and 12km can both be divided by 4, which will then give is 4 and 3.

3,4,5 is a pythagorean triple-(the sums of the squares of 3 and 4 is equal to the square of 5).

The triple can be proved:

3²+4²=5²

9+16=25

25=25

that means the lengths of the triangle is a multiple of the triple 3, 4, and 5

so that means that c is 5*something

since 12 and 16 are 3*4 and 4*4 respectively, that means that c must be 5*4=20km

Hope this helps!