Question

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

Answer 1

≈ 17.69

Explanation:

Calculate the length of the hypotenuse using`color(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