If c is the measure of the hypotenuse of a right triangle, how do you find each missing measure given a=8, b=x, c=x+2?

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Answer 1 · 2017-04-18T07:18:29

#c=17#
#b=15#

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Apply Pythagorean theorem #a^2+b^2=c^2#

#b=x# and #c=x+2#

#8^2+x^2=(x+2)^2#

#8^2+x^2=(x+2)(x+2)#

#8^2+x^2=x^2+4x+4#

#8^2=4x+4#

#64=4x+4#

#60=4x#

#x=15#

#c=x+2#
#c=15+2#
#color(red)(c=17)#

#b=x#
#color(red)(b=15)#