What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 9 and 4?

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Answer 1 · 2018-04-02T04:23:36

Magnitude of the hypotenuse in the right triangle #~~"9.85 " units#

Given:

The right-triangle CAB, with #/_CAB=90^@#.

#bar (AC)=4# units.

#bar (AB) = 9# units.

Hypotenuse = #bar(BC)#

Pythagoras Theorem states that

#(BC)^2=(AC)^2+(AB)^2#

#rArr (BC)^2 = 4^2+9^2#

#rArr (BC)^2 = 16+81#

#rArr (BC)^2 = 97#

#rArr BC = sqrt(97)#

#rArr BC ~~ 9.848857802#

Hence,

magnitude of the hypotenuse in the right triangle #~~"9.85 " units#

Using a software, we can actually construct the right-triangle to scale, and prove our result as shown below:

enter image source here