# If c is the measure of the hypotenuse, find the missing measure,round to the nearest tenth if necessary a=? b=16 c=43

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neela | Student

c =43,a=? and b =16. To find a .

Solution:

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).