A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34 centimeters, and the length of the other leg is 23 centimeters. The student incorrectly says that the length of the hypotenuse is 7.5 centimeters. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.

1. Use the Pythagorean Theorem because this is a right triangle:

a^2 + b^2 = c^2

34^2 + 23^2 = c^2

√ 1685 = c

c = 41

41

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)