What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 3 and 2?

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What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 3 and 2?

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Answer 1 · 2016-03-10T10:51:09

$sqrt13 ≈ 3.606$

Explanation:

Use $color(blue)" Pythagoras' theorem "$

which states ' the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides'

If h represents the hypotenuse and a and b the other 2 sides

then this can be written as an equation : $h^2 = a^2+b^2$

in this question let a = 3 and b = 2

hence $h^2 = 3^2 + 2^2 = 9 + 4 = 13$

since $h^2 = 13 " then " h = sqrt13 ≈ 3.606$

Answer 2 · 2016-03-10T10:52:03

Hypotenuse is $3.606$ .

Explanation:

Length of the hypotenuse of a right triangle is given by $h^2=a^2+b^2$ where $a$ and $b$ are two other sides,

As these are of lengths $3$ and $2$ , hypotenuse is given by

$h^2=3^2+2^2=9+4=13$

Hence hypotenuse is $sqrt13=3.606$

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What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 3 and 2?

2 Answers

Explanation:

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