Question

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

Answer 1

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

Explanation:

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: