What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 6 and 2?

2 Answers
Jun 30, 2018

2sqrt(10)

Explanation:

By the Theorem of Pythagorean
c^2=a^2+b^2

we get

c^2=4+36
so
c=sqrt(40)=sqrt(4*10)=2sqrt(10)

Jun 30, 2018

The length of hypotenuse =c=2sqrt10~~6.32

Explanation:

Let triangle ABC be the right triangle.

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Let , bar(AB) be the hypotenuse and m /_C=pi/2

Let , BC=a=2 and AC=b=6 and AB=c

We know that,

c^2=a^2+b^2

=>c^2=2^2+6^2=4+36=40

=>c^2=4xx10

=>c=2sqrt10~~6.32