Aright triangle has legs measuring 20 in. and 28 in.

what is the length of the hypotenuse?

round to the nearest tenth.

8.0in.

19.6in.

34.4in.

1184.0in.

34.4 inch

Step-by-step explanation:

We know that the Pythagoras theorem says that in a right triangle the square of hypotenuse is equal to the sum of the squares of the legs of the triangle.

Let H be the hypotenuse.

Therefore for the given right triangle , we have

Thus, the  length of the hypotenuse = 34.4 inch

14.7 km

Step-by-step explanation:

Given:

Scale of a map is 2 cm = 21 km.

We know that, 1 cm = 10 mm

Therefore, 2 cm = 2 10 = 20 mm

Therefore, the scale of the map is, 20 mm = 21 km

Now, let the actual distance be 'd' km for 14 mm.

Using proportion of the two quantities, we get:

Multiplying both sides by 14, we get:

Therefore, the actual distance of 14 mm is 14.7 km.