If hypotenuse is 8.5m and base 4m find perpendicular.
write formula also
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given : triangle BAC
angleA= 90 degrees
BC=8.5m, AC=4m
find: AB
solution:
In triangle BAC
angle A = 90 degrees.
hence, using Pythagoras theorem;
( Hypotenuse)^2 = ( perpendicular)^2 + ( base)^2
therefore;
BC^2 = AB^2 + AC^2
(8.5)^2= AB^2 + (4)^2
72.25 = AB^2 + 16
AB^2 = 72.25 - 16
AB^2 = 56.25 m^2
therefore;
AB = 7.5m
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