You can use the pythagoras’ theorem and just look at one right triangle.
The dimensions for one of the right triangles is (x/2), 8, and square root of 80.
a^2 + b^c = c^2
when c is the square root of 80.
Plug everything in
(x/2)^2 + 8^2 = (square root of 80)^2
That is equivalent to
((x^2)/4) + 64 = 80
Solve for x
((x^2)/4) = 16
Multiple by 4 on each side
x^2 = 64
Take the square root and you have you’re final answer
x = 8
To find the median, add up the frequency column to find how many trains there were in total. There were 44 trains in total in this grouped frequency table, so work out 44 + 1 2 = 45 2 = 22.5. The median is therefore between the 22nd and 23rd values.
(6.4 x 10^8 meter/sec) x (1 km / 1,000 meter) x (3,600 sec/hour) =
(6.4 x 10^8 x 3,600 / 1,000) km/hour =
177-7/9 km/hour
