If c is the measure of the hypotenuse, find the missing measure,round to the nearest tenth if necessary a=? b=16 c=43
We have the right angle triangle with the sides a, b, and c, where c is the hypotenuse. Then:
c^2 = a^2 + b^2
43^2 = a^2 + 16^2
1849 = a^2 + 256
==> a^2 = 1849-256
==> a^2 = 1593
==> a = 39.9 (approx.)
use the pythagorean theorem: a^2+b^2=c^2
c =43,a=? and b =16. To find a .
Here a, b and c are taken as sides of a right angled triangle . a and b are the right angle forming sides and c is the hypotenuse. So, by Pythagoras theorem, we have:
a^2+b^2 = c^2. Substitute b=16 and c =43.
a^2+16^2 = 43^2. Subtract 16^2 from both sides.
a^2 = 43^2-16^2 = 1849-256 = 1593. Take square root.
a = sqrt1593 =39.9124 = 39.9 (nearest to tenth).