What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 12 and 13?

1 Answer
Jim G.
Mar 20, 2016

≈ 17.69

Explanation:

Calculate the length of the hypotenuse usingcolor(blue)" Pythagoras's 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'

This can be written as an equation. If the sides of a triangle are a, b and c , c being the hypotenuse then
c^2 = a^2 + b^2

here let a = 12 and b = 13 then c^2 = 12^2 + 13^2 = 313

now c^2 = 313 rArr c = sqrt313 ≈ 17.69

hence the length of the hypotenuse is 17.69

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